Finding the Third Proportional to 108,902 and 231,022

Step by Step Solution

1. Step 1: Write the proportion equation
   108,902 : 231,022 = 231,022 : x
2. Step 2: Convert to fraction form
   108,902/231,022 = 231,022/x
3. Step 3: Cross multiply
   108,902x = 231,022 × 231,022
4. Step 4: Simplify right side
   108,902x = 53,371,164,484
5. Step 5: Solve for x
   x = 53,371,164,484/108,902
6. Step 6: Final answer
   x = 490,084.34