Finding the Third Proportional to 105,582 and 229,755

Step by Step Solution

1. Step 1: Write the proportion equation
   105,582 : 229,755 = 229,755 : x
2. Step 2: Convert to fraction form
   105,582/229,755 = 229,755/x
3. Step 3: Cross multiply
   105,582x = 229,755 × 229,755
4. Step 4: Simplify right side
   105,582x = 52,787,360,025
5. Step 5: Solve for x
   x = 52,787,360,025/105,582
6. Step 6: Final answer
   x = 499,965.52