Finding the Third Proportional to 177,529 and 249,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,529 : 249,706.50 = 249,706.50 : x
2. Step 2: Convert to fraction form
   177,529/249,706.50 = 249,706.50/x
3. Step 3: Cross multiply
   177,529x = 249,706.50 × 249,706.50
4. Step 4: Simplify right side
   177,529x = 62,353,336,142.25
5. Step 5: Solve for x
   x = 62,353,336,142.25/177,529
6. Step 6: Final answer
   x = 351,229.02