Finding the Third Proportional to 177,548 and 249,726.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,548 : 249,726.50 = 249,726.50 : x
2. Step 2: Convert to fraction form
   177,548/249,726.50 = 249,726.50/x
3. Step 3: Cross multiply
   177,548x = 249,726.50 × 249,726.50
4. Step 4: Simplify right side
   177,548x = 62,363,324,802.25
5. Step 5: Solve for x
   x = 62,363,324,802.25/177,548
6. Step 6: Final answer
   x = 351,247.69