Finding the Third Proportional to 109,082 and 231,349

Step by Step Solution

1. Step 1: Write the proportion equation
   109,082 : 231,349 = 231,349 : x
2. Step 2: Convert to fraction form
   109,082/231,349 = 231,349/x
3. Step 3: Cross multiply
   109,082x = 231,349 × 231,349
4. Step 4: Simplify right side
   109,082x = 53,522,359,801
5. Step 5: Solve for x
   x = 53,522,359,801/109,082
6. Step 6: Final answer
   x = 490,661.70