Finding the Third Proportional to 109,020 and 231,234

Step by Step Solution

1. Step 1: Write the proportion equation
   109,020 : 231,234 = 231,234 : x
2. Step 2: Convert to fraction form
   109,020/231,234 = 231,234/x
3. Step 3: Cross multiply
   109,020x = 231,234 × 231,234
4. Step 4: Simplify right side
   109,020x = 53,469,162,756
5. Step 5: Solve for x
   x = 53,469,162,756/109,020
6. Step 6: Final answer
   x = 490,452.79