How far from Earth must a body be along a line towards the Sun so that sun's gravitational pull on it balances that of Earth. Distance between Sun and Earth's center is 1.5*10¹⁰km. Mass of Sun is 3.24*10⁵times mass of Earth.

Considering F_S be the Gravitational force on the earth by the sun while  F_E be the gravitational pull by the earth on the sun. And

Let r be the distance between the body and the centre of the Earth such that F_S = F_E.

GM_sm/r_s² = GM_em/r_e²

^{On substituting the given values we can get the desired result} 

r = 2.61 × 10⁸ m