Finding the Third Proportional to 105,596 and 229,782

Step by Step Solution

1. Step 1: Write the proportion equation
   105,596 : 229,782 = 229,782 : x
2. Step 2: Convert to fraction form
   105,596/229,782 = 229,782/x
3. Step 3: Cross multiply
   105,596x = 229,782 × 229,782
4. Step 4: Simplify right side
   105,596x = 52,799,767,524
5. Step 5: Solve for x
   x = 52,799,767,524/105,596
6. Step 6: Final answer
   x = 500,016.74