Finding the Third Proportional to 105,862 and 220,436

Step by Step Solution

1. Step 1: Write the proportion equation
   105,862 : 220,436 = 220,436 : x
2. Step 2: Convert to fraction form
   105,862/220,436 = 220,436/x
3. Step 3: Cross multiply
   105,862x = 220,436 × 220,436
4. Step 4: Simplify right side
   105,862x = 48,592,030,096
5. Step 5: Solve for x
   x = 48,592,030,096/105,862
6. Step 6: Final answer
   x = 459,012.96