If I pointed a laser pointer at the moon... (Hypothetical)

[beowulff]

I asked a similar (but, more reasonable) question awhile ago:

Could someone on the ISS see a laser beam from Earth?

Say I took my 5mW green laser and aimed it at the ISS, 200 miles away - if my aim was perfect, at night, could the light be seen by someone looking directly at the beam? Some online calculations show the beam would have spread to 200-400 meters across after 200 miles.