Capo 7! I think these are the correct chords. Improvements are welcome! I had a tough 
time figuring out the chords to the bridge towards the end, perhaps you could figure that out.

Intro: G5 D5 E5 C5

Verse 1:
   G5                             D5
Here I am , looking up from a long way down
                  E5                           C5
Didn't know I was falling till, my head hit the ground
  G5                                 D5
Take my hand, you're the part of me I won't hide
                  E5                                    C5
Didn't know I was standing still, till the world almost passed me by

Chorus:
          G5                D5
If we let go now, would we fall down?
       E5                                  C5
Are we holding on too tight for this to be real love?
          G5                D5
If we let go now, would we fall down?
       E5                          C5
Are we holding on too tight are we holding on
               G5              D5
For this to be real, real, real
               E5             C5
For this to be real, real, real
               G5         D5
For this to be real, yeah
               E5        C5
For this to be real, yeah

Verse 2:
G5                                     D5
Here we stand, in the place where you turned me round
                          E5
Not what I thought I'd be fighting for
                        C5
But it's the closest to love I've found, found

Chorus:
          G5                D5
If we let go now, would we fall down?
       E5                                  C5
Are we holding on too tight for this to be real love?
          G5                D5
If we let go now, would we fall down?
       E5                          C5
Are we holding on too tight are we holding on
               G5              D5
For this to be real, real, real
               E5             C5
For this to be real, real, real
               G5         D5
For this to be real, yeah
               E5        C5
For this to be real, yeah

Bridge:
            ?                        ?
I wonder if real love can be found, build me up to pull me down
C5                G5
Hold me close or let me go
        ?                                        ?
In this world we built for us, though it doesn't look like much
C5                     D5
It's always been enough

Chorus: (* = strum once)
          G5 *                D5 *
If we let go now, would we fall down?
       E5 *                          C5
Are we holding on too tight are we holding on
               G5              D5
For this to be real, real, real
               E5             C5
For this to be real, real, real
               G5         D5
For this to be real, yeah
               E5        C5
For this to be real, yeah