Gravitation and Newton's Synthesis

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Homework Statement

The asteroid Icarus, though only a few hundred meters across, orbits the Sun like the other planents. Its period is about 410 d. What is its mean distance from the Sun?

Homework Equations

Keplers Law
T_1 ^2 / T_2 ^2 = S_1 ^3 / S_2 ^3

The Attempt at a Solution

I chose my second reference point to be the earth
the distance from the Earth to the sun is about 1.5 E 11 m
the period of the Earht is one day or 8.64E4 s
410 d is equal to 3.542E7 s

from keplers law

S_1 = CUBEROOT( (T_1^2 S_2^3)/T_2^2

CUBEROOT( ((3.542 E 7 s)^2 (1.5 E 11 m)^3)/(8.64 E 4 s)^2
I'm getting about 1.87 E 11 m
the book says 1.62 E 11 m

what am I doing wrong

 

[mukundpa]

What for the period of the Earth is one day ?

 

[Redbelly98]

Also, it is not necessary to convert the periods into seconds in this problem.