Finding the Third Proportional to 105,542 and 231,592

Step by Step Solution

1. Step 1: Write the proportion equation
   105,542 : 231,592 = 231,592 : x
2. Step 2: Convert to fraction form
   105,542/231,592 = 231,592/x
3. Step 3: Cross multiply
   105,542x = 231,592 × 231,592
4. Step 4: Simplify right side
   105,542x = 53,634,854,464
5. Step 5: Solve for x
   x = 53,634,854,464/105,542
6. Step 6: Final answer
   x = 508,184.94