Finding the Third Proportional to 131,764.50 and 256,905

Step by Step Solution

1. Step 1: Write the proportion equation
   131,764.50 : 256,905 = 256,905 : x
2. Step 2: Convert to fraction form
   131,764.50/256,905 = 256,905/x
3. Step 3: Cross multiply
   131,764.50x = 256,905 × 256,905
4. Step 4: Simplify right side
   131,764.50x = 66,000,179,025
5. Step 5: Solve for x
   x = 66,000,179,025/131,764.50
6. Step 6: Final answer
   x = 500,895.00