Answer
$2NH_{4}Cl(aq)+ Pb(NO_{3})_{2}(aq)\ -->\ PbCL_{2}(s)+2NH_{4}NO_{3}(aq)$
Work Step by Step
$PbCl_{2}$ is not soluble in water so a precipitation reaction occurs. A coefficient of 2 is added to $NH_{4}NO_{3}$ to balance the $NO_{3}^{-}$ and another 2 is added to $NH_{4}Cl$ to balance the $NH_{4}$ and $Cl$.