Do you have a problem with the timing, or the jump itself? The first moving platform should be relatively easy to get to, IIRC, by running and jumping diagonally as it approaches.
Do you continue to keep the left stick forward (Xbox version) or hold the W key down (PC version) while jumping?
From the
walkthrough:
1: Climb the ladder, then leap to the next platform and flip the lever.
2: Wait for the moving platform to draw close, then jump on it.
3: From there, jump onto the platform that the current one is moving towards.
4: Turn right and jump across the room to another platform.
5: Flip the lever to activate a teleporter near the ground.
6: Jump down and enter the teleporter.
7: Find the three levers nearby and face out towards the rest of the room.
8: Flip the left lever twice, the middle lever once, and the right lever once.
(each lever affects the height of another platform - the goal is to create a
stairway up to the far end of the room).
9: Hop across the platforms to another lever and flip it. Good kitty.
Depending on the situation you may find that either an extreme high or low camera angle may help.
floating platforms (minor spoilers)
This game punishes those with poor eye-hand skillsWelcome to the forum.
