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gear box for scissor jack design

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Hi there

I am currently an undergrad engineering student in need of some advice. I am designing a motorized scissor jack and don't know how to approach the gearbox. The torque calculated for the power screw of the jack is 146.77 Nm and the maximum torque the motor can provide is  8.6 Nm with a maximum allowable radical force of 25N. I've tried to use 3 pairs of helical gears to reduce the torque but the radical force is too large. I need the gears to be small enough to fit inside a relatively compact housing. 
I'm looking for any tips on how to approach this problem will a relatively simple solution that I could approach at my engineering level.
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15 hours ago, Ian McGuire said:

I'm not an engineer but I've sold industrial gearboxes for many years. It may be worth looking at a worm gear. You could probably use one gear set. They can be quite compact for a large reduction.

thank you very much

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