Finding the Third Proportional to 217,911 and 333,202.50

Step by Step Solution

1. Step 1: Write the proportion equation
   217,911 : 333,202.50 = 333,202.50 : x
2. Step 2: Convert to fraction form
   217,911/333,202.50 = 333,202.50/x
3. Step 3: Cross multiply
   217,911x = 333,202.50 × 333,202.50
4. Step 4: Simplify right side
   217,911x = 111,023,906,006.25
5. Step 5: Solve for x
   x = 111,023,906,006.25/217,911
6. Step 6: Final answer
   x = 509,491.98