Finding the Third Proportional to 165,942 and 249,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,942 : 249,079.50 = 249,079.50 : x
2. Step 2: Convert to fraction form
   165,942/249,079.50 = 249,079.50/x
3. Step 3: Cross multiply
   165,942x = 249,079.50 × 249,079.50
4. Step 4: Simplify right side
   165,942x = 62,040,597,320.25
5. Step 5: Solve for x
   x = 62,040,597,320.25/165,942
6. Step 6: Final answer
   x = 373,869.17