Finding the Third Proportional to 105,408 and 231,552

Step by Step Solution

1. Step 1: Write the proportion equation
   105,408 : 231,552 = 231,552 : x
2. Step 2: Convert to fraction form
   105,408/231,552 = 231,552/x
3. Step 3: Cross multiply
   105,408x = 231,552 × 231,552
4. Step 4: Simplify right side
   105,408x = 53,616,328,704
5. Step 5: Solve for x
   x = 53,616,328,704/105,408
6. Step 6: Final answer
   x = 508,655.21