The balanced equation for the reaction between silver nitrate and sodium chlorate is:

AgNO3(aq) + NaClO3(aq) → AgClO3(s) + NaNO3(aq)

In this reaction, silver nitrate and sodium chlorate react to form silver chlorate and sodium nitrate. The reaction takes place in aqueous solution and the products are a solid (AgClO3) and an aqueous solution (NaNO3).