Finding the Third Proportional to 131,666 and 256,762

Step by Step Solution

1. Step 1: Write the proportion equation
   131,666 : 256,762 = 256,762 : x
2. Step 2: Convert to fraction form
   131,666/256,762 = 256,762/x
3. Step 3: Cross multiply
   131,666x = 256,762 × 256,762
4. Step 4: Simplify right side
   131,666x = 65,926,724,644
5. Step 5: Solve for x
   x = 65,926,724,644/131,666
6. Step 6: Final answer
   x = 500,711.84