Finding the Third Proportional to 231,196.50 and 338,793.75

Step by Step Solution

1. Step 1: Write the proportion equation
   231,196.50 : 338,793.75 = 338,793.75 : x
2. Step 2: Convert to fraction form
   231,196.50/338,793.75 = 338,793.75/x
3. Step 3: Cross multiply
   231,196.50x = 338,793.75 × 338,793.75
4. Step 4: Simplify right side
   231,196.50x = 114,781,205,039.06
5. Step 5: Solve for x
   x = 114,781,205,039.06/231,196.50
6. Step 6: Final answer
   x = 496,466.02