The resistance on the solenoids are 240 ohms. Therefore, according to hanelyp they should require .1 amp each. Although, I spoke to an engineer and he told me that solenoids have an "active" resistance called reactance and you can't put an ohmmeter on them and simply measure resistance. Their resistance varies with the frequency of the applied signal - hence "active" resistance.
After some research, I built a voltage double circuit (see the pic). I could probably use a better PNP but I used parts that I had on hand. The circuit works. My 12 volt p/s (actually 11.75V) can not drive the solenoids at 12V. However, after hooking up the doubler circuit the solenoids works, abet slightly sluggish. The circuit is putting out 22.75V. I measured the current in series and each solenoids is only pulling .05 amps. I suppose that this is misleading. I think the solenoid probably pulls .1 A or higher when firing, but then requires less current to stay open. Unfortunately, my meter is too slow to measure the actual current pulled during firing.
Any suggestions on how to make the circuit more efficient?