Finding the Third Proportional to 207,684 and 311,179.50

Step by Step Solution

1. Step 1: Write the proportion equation
   207,684 : 311,179.50 = 311,179.50 : x
2. Step 2: Convert to fraction form
   207,684/311,179.50 = 311,179.50/x
3. Step 3: Cross multiply
   207,684x = 311,179.50 × 311,179.50
4. Step 4: Simplify right side
   207,684x = 96,832,681,220.25
5. Step 5: Solve for x
   x = 96,832,681,220.25/207,684
6. Step 6: Final answer
   x = 466,250.08