Finding the Third Proportional to 221,202 and 332,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   221,202 : 332,896.50 = 332,896.50 : x
2. Step 2: Convert to fraction form
   221,202/332,896.50 = 332,896.50/x
3. Step 3: Cross multiply
   221,202x = 332,896.50 × 332,896.50
4. Step 4: Simplify right side
   221,202x = 110,820,079,712.25
5. Step 5: Solve for x
   x = 110,820,079,712.25/221,202
6. Step 6: Final answer
   x = 500,990.41