Finding the Third Proportional to 105,952 and 220,616

Step by Step Solution

1. Step 1: Write the proportion equation
   105,952 : 220,616 = 220,616 : x
2. Step 2: Convert to fraction form
   105,952/220,616 = 220,616/x
3. Step 3: Cross multiply
   105,952x = 220,616 × 220,616
4. Step 4: Simplify right side
   105,952x = 48,671,419,456
5. Step 5: Solve for x
   x = 48,671,419,456/105,952
6. Step 6: Final answer
   x = 459,372.35