A $145-$kg object and a $445-$kg object are separated by $3\mathrm{.}40$ m $.$

$($a$)$ Find the magnitude of the net gravitational force exerted by these objects on a $41\mathrm{.}0-$kg object placed midway between them.

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$($b$)$ At what position $($other than an infinitely remote one$)$ can the $41\mathrm{.}0-kg$ object be placed so as to experience a net force of zero from the other two objects?

Draw a careful picture and label the distance between the $445$ kg object and the $41\mathrm{.}0$ kg object as $x.m$ from the $445$ kg mass yoward the $145$ kg mass