Finding the Third Proportional to 105,676 and 220,082

Step by Step Solution

1. Step 1: Write the proportion equation
   105,676 : 220,082 = 220,082 : x
2. Step 2: Convert to fraction form
   105,676/220,082 = 220,082/x
3. Step 3: Cross multiply
   105,676x = 220,082 × 220,082
4. Step 4: Simplify right side
   105,676x = 48,436,086,724
5. Step 5: Solve for x
   x = 48,436,086,724/105,676
6. Step 6: Final answer
   x = 458,345.19