A company purchased machinery on January $2,$ Year $1,$ for $$920,000.$ A five$-$year life was estimated and no residual value was anticipated. The company decided to use the straight$-$line depreciation method and recorded $$184,000$ in depreciation in Year $1$ and Year $2.$ Early in Year $3,$ the company changed its depreciation method to the sum$-$of$-$the$-$years$-$digits $($SYD$)$ method.

Required:

Will the company apply the SYD method retrospectively or apply the method prospectively?

Prepare any Year $3$ journal entry related to the change.