Finding the Third Proportional to 207,538 and 311,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   207,538 : 311,309.50 = 311,309.50 : x
2. Step 2: Convert to fraction form
   207,538/311,309.50 = 311,309.50/x
3. Step 3: Cross multiply
   207,538x = 311,309.50 × 311,309.50
4. Step 4: Simplify right side
   207,538x = 96,913,604,790.25
5. Step 5: Solve for x
   x = 96,913,604,790.25/207,538
6. Step 6: Final answer
   x = 466,968.00