Finding the Third Proportional to 231,178.50 and 338,769

Step by Step Solution

1. Step 1: Write the proportion equation
   231,178.50 : 338,769 = 338,769 : x
2. Step 2: Convert to fraction form
   231,178.50/338,769 = 338,769/x
3. Step 3: Cross multiply
   231,178.50x = 338,769 × 338,769
4. Step 4: Simplify right side
   231,178.50x = 114,764,435,361
5. Step 5: Solve for x
   x = 114,764,435,361/231,178.50
6. Step 6: Final answer
   x = 496,432.13