How do I activate the Lanayru Desert Mining Co. Stone Cache power generator?

I've activated two of the three generators to power the machine that opens the entrance to the Lanayru Mining Co.

However, I can't figure out how to get to the generator at the end of the Stone Cache.

There's a large area of sand too far for me to run across, and after I timeshift, there's just a big hole there.

How do I get across this area?

Solution 1:

In the Arid Present:

• Kill an Amplius (the giant rollers) and then chase and get on it's shell.
• The current will allow you to ride it to the end.
• (optional) Now climb up the crates to your left and walk along the top, you'll find a crate you can push down to create a shortcut for future use.

Now hit the time crystal in the middle of the room to be in the Green Past:

• Use the beetle to grab an Amplius Egg and carry it over to the gate control machine.
• Roll the Amplius egg into the machine.

Solution 2:

Turns out I needed to defeat the enemy closer to the area I couldn't cross... it's one of those sand pits with a current, so the shell is pulled across. From there, I used the Beetle to trigger the timeshift and then bring one of the electrified enemies to the power device for the door.