Finding the Third Proportional to 131,662.50 and 256,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,662.50 : 256,756.50 = 256,756.50 : x
2. Step 2: Convert to fraction form
   131,662.50/256,756.50 = 256,756.50/x
3. Step 3: Cross multiply
   131,662.50x = 256,756.50 × 256,756.50
4. Step 4: Simplify right side
   131,662.50x = 65,923,900,292.25
5. Step 5: Solve for x
   x = 65,923,900,292.25/131,662.50
6. Step 6: Final answer
   x = 500,703.70