Finding the Third Proportional to 131,665.50 and 256,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,665.50 : 256,762.50 = 256,762.50 : x
2. Step 2: Convert to fraction form
   131,665.50/256,762.50 = 256,762.50/x
3. Step 3: Cross multiply
   131,665.50x = 256,762.50 × 256,762.50
4. Step 4: Simplify right side
   131,665.50x = 65,926,981,406.25
5. Step 5: Solve for x
   x = 65,926,981,406.25/131,665.50
6. Step 6: Final answer
   x = 500,715.69