Question 957006
Your equation is incorrect.
It's not the square root of the distance but rather the square of the distance.
{{{F[e]=(GmM[e])/R[e]^2}}}
{{{F[m]=(Gm(1.23/100)M[e])/R[m]^2}}}
{{{(GmM[e])/R[e]^2=(Gm(0.0123)M[e])/R[m]^2}}}
{{{1/R[e]^2=(0.0123)/R[m]^2}}}
{{{R[m]^2=(0.0123)R[e]^2}}}
Where,
{{{(R[m]/R[e])^2=0.0123}}}
{{{R[m]/R[e]=0.111}}}
{{{R[m]=0.111R[e]}}}
In this case,
{{{R[e]=X}}}
and
{{{R[m]+R[e]=398300}}}
Substituting,
{{{0.111X+X=398300}}}
{{{1.111X=398300}}}
{{{X=358505}}}{{{km}}}