Finding the Third Proportional to 105,666 and 220,188

Step by Step Solution

1. Step 1: Write the proportion equation
   105,666 : 220,188 = 220,188 : x
2. Step 2: Convert to fraction form
   105,666/220,188 = 220,188/x
3. Step 3: Cross multiply
   105,666x = 220,188 × 220,188
4. Step 4: Simplify right side
   105,666x = 48,482,755,344
5. Step 5: Solve for x
   x = 48,482,755,344/105,666
6. Step 6: Final answer
   x = 458,830.23