Finding the Third Proportional to 165,859.50 and 249,984

Step by Step Solution

1. Step 1: Write the proportion equation
   165,859.50 : 249,984 = 249,984 : x
2. Step 2: Convert to fraction form
   165,859.50/249,984 = 249,984/x
3. Step 3: Cross multiply
   165,859.50x = 249,984 × 249,984
4. Step 4: Simplify right side
   165,859.50x = 62,492,000,256
5. Step 5: Solve for x
   x = 62,492,000,256/165,859.50
6. Step 6: Final answer
   x = 376,776.73