Finding the Third Proportional to 102,252 and 222,496

Step by Step Solution

1. Step 1: Write the proportion equation
   102,252 : 222,496 = 222,496 : x
2. Step 2: Convert to fraction form
   102,252/222,496 = 222,496/x
3. Step 3: Cross multiply
   102,252x = 222,496 × 222,496
4. Step 4: Simplify right side
   102,252x = 49,504,470,016
5. Step 5: Solve for x
   x = 49,504,470,016/102,252
6. Step 6: Final answer
   x = 484,141.83