I believe publiusr had asteroids much larger than 200 tons in mind. In principle, it would make sense to use the momentum of asteroids flying by to loft large masses into orbit.
That is exactly what I was suggesting. In this manner, large excavating machines can be bodily lifted off Earth (Front End Loaders, Caterpillers, wetstage Domes with gas propellants for RATO systems.
The asteroid would be moved close to Earth and the Moonbase assembled with this mega heavy lift system. No more shrinking payloads.