Crane Corporation began constructing a new plant facility in $2025.$ The building is expected to be completed on October $1,2025\mathrm{.}2025$ payments to the contractor are $$216,000$ on January $4,$$$294,000$ on April $1,$$$348,000$ on July $1$ and $$132,000$ on September $1.$ Crane has secured a construction loan of $$500,000$ at $4\%$ interest on January $4,2025.$ Crane has no other debt outstanding. What is the interest amount to capitalize?

Interest to capitalize $