Finding the Third Proportional to 102,366 and 221,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,366 : 221,498.50 = 221,498.50 : x
2. Step 2: Convert to fraction form
   102,366/221,498.50 = 221,498.50/x
3. Step 3: Cross multiply
   102,366x = 221,498.50 × 221,498.50
4. Step 4: Simplify right side
   102,366x = 49,061,585,502.25
5. Step 5: Solve for x
   x = 49,061,585,502.25/102,366
6. Step 6: Final answer
   x = 479,276.18