Finding the Third Proportional to 131,663.50 and 256,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,663.50 : 256,758.50 = 256,758.50 : x
2. Step 2: Convert to fraction form
   131,663.50/256,758.50 = 256,758.50/x
3. Step 3: Cross multiply
   131,663.50x = 256,758.50 × 256,758.50
4. Step 4: Simplify right side
   131,663.50x = 65,924,927,322.25
5. Step 5: Solve for x
   x = 65,924,927,322.25/131,663.50
6. Step 6: Final answer
   x = 500,707.69