Finding the Third Proportional to 105,182 and 231,398

Step by Step Solution

1. Step 1: Write the proportion equation
   105,182 : 231,398 = 231,398 : x
2. Step 2: Convert to fraction form
   105,182/231,398 = 231,398/x
3. Step 3: Cross multiply
   105,182x = 231,398 × 231,398
4. Step 4: Simplify right side
   105,182x = 53,545,034,404
5. Step 5: Solve for x
   x = 53,545,034,404/105,182
6. Step 6: Final answer
   x = 509,070.32