[Calvin Locke]

...until it was high enough to be grabbed by the moon's gravity.

High enough? From memory, the Earth's gravitational effect, in relation to the Moon is something just under
90% of the distance between to the two masses. Say 250K miles, that means it has to be about
25K miles from the Moon to be captured by it.

Or did I miscalculate?

[NicknamedBob]

"... From memory, the Earth's gravitational effect, in relation to the Moon is something just under 90% of the distance between to the two masses. Say 250K miles, that means it has to be about 25K miles from the Moon to be captured by it."

Probably close enough. Now, how high does a beanstalk have to be on the moon, to get past the balance point with Earth?