Physics Problem - Universal Gravitation

If we were to follow a path directly from the Earth to the Moon, there would be a point where the gravitational pulls from the Earth and the Moon would each have the same size, but would be in the opposite directions. How far from the centre of the Earth is that point (in terms of the radius of the moon's orbit)?

I have no idea how to do it, I thought I would get the right answer by making FGEarth = -FGMoon, but I got a value like 1300 m

The correct answer is:

0.90 * radius of moon's orbit