Finding the Third Proportional to 221,833.50 and 332,642

Step by Step Solution

1. Step 1: Write the proportion equation
   221,833.50 : 332,642 = 332,642 : x
2. Step 2: Convert to fraction form
   221,833.50/332,642 = 332,642/x
3. Step 3: Cross multiply
   221,833.50x = 332,642 × 332,642
4. Step 4: Simplify right side
   221,833.50x = 110,650,700,164
5. Step 5: Solve for x
   x = 110,650,700,164/221,833.50
6. Step 6: Final answer
   x = 498,800.68