A $104-$kN axial load P is applied to the W$150\backslash$times $8$ rolled steel column BC that is free at its top C and fixed at its base B$.$ Knowing that the eccentricity of the load is e $=6$ mm$,$ determine the largest permissible length L if the allowable stress in the column is $80$ MPa. Use E $=200$ GPa. $($Round the final answer to three decimal places.$)$

Given: A $=2290$ mm$2,$ bf $=102$ mm$,$ Iy $=1\mathrm{.}24\backslash$times $106$ mm$4,$ and ry $=23\mathrm{.}3$ mm