\( n_{H_2O} = \frac{178.2}{18} = 9.9; \, n_{C_6H_{12}O_6} = \frac{18}{180} = 0.1 \)
\( \chi_{C_6H_{12}O_6} = \frac{0.1}{10} = 0.01 \)
\( \frac{P_0 - P_s}{P_0} = \chi_{C_6H_{12}O_6} \)
\( \frac{760 - P_s}{760} = 0.01 \)
\( 760 - P_s = 7.6 \)
\( P_s = 752.4 \, \text{torr} \)