I think I may be a bit confused on exactly what you are trying to accomplish, so if my answer does not
help, I apologize.
Anyways, the way to do it (from what I gather) is to set the gate of the third counter to start on the falling edge of counter 1 and start on the next falling edge of counter 1.
A little more clarity in how the counters are intended to start/stop may be helpful in getting a better answer.
Derek