Finding the Third Proportional to 100,458 and 221,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,458 : 221,359.50 = 221,359.50 : x
2. Step 2: Convert to fraction form
   100,458/221,359.50 = 221,359.50/x
3. Step 3: Cross multiply
   100,458x = 221,359.50 × 221,359.50
4. Step 4: Simplify right side
   100,458x = 49,000,028,240.25
5. Step 5: Solve for x
   x = 49,000,028,240.25/100,458
6. Step 6: Final answer
   x = 487,766.31