For a Lycoming O 320 powered C 172 and an OAT of around + 5 C
1) tail tied down if possible
2) chocks on both main wheels
3) a qualified individual in the pilots seat
4) call throttle idle, mixture rich, mags off
5) look in the window and verify mags off
6) call 2 shots of prime
7) pull prop through 3 full turns
8) set prop at a comfortable angle ( prop tilted up about 30 degrees from the horizontal on the side of the downgoing blade, ie the one you are pulling on)
9) call for one shot of prime
10) call mags on brakes on.
11) swing prop, the engine will usually start immediately
12) if no start call mags off visual check and re position prop
13) call mags on brakes on try again
Notes:
a). You can hand prop by standing in front of, or behind prop. Personally
I like to stand behind the prop on the right side of the aircraft and hold on to the fuel step hand hold on the upper cowl with my left hand and swing the prop with my right.
b) a sturdy close fitting glove saves the skin on your fingers
c) only wrap the end of your fingers around the blade
d) make sure that the ground you are standing on gives you good footing
e) When swinging make a hard sharp pull and then relax your fingers and let your arm swing clear as the prop starts swinging
f) Anytime you move the prop assume the engine will start and position your hands and body appropriately