Finding the Third Proportional to 102,366 and 221,499.75

Step by Step Solution

1. Step 1: Write the proportion equation
   102,366 : 221,499.75 = 221,499.75 : x
2. Step 2: Convert to fraction form
   102,366/221,499.75 = 221,499.75/x
3. Step 3: Cross multiply
   102,366x = 221,499.75 × 221,499.75
4. Step 4: Simplify right side
   102,366x = 49,062,139,250.06
5. Step 5: Solve for x
   x = 49,062,139,250.06/102,366
6. Step 6: Final answer
   x = 479,281.59