Finding the Third Proportional to 105,650 and 220,084

Step by Step Solution

1. Step 1: Write the proportion equation
   105,650 : 220,084 = 220,084 : x
2. Step 2: Convert to fraction form
   105,650/220,084 = 220,084/x
3. Step 3: Cross multiply
   105,650x = 220,084 × 220,084
4. Step 4: Simplify right side
   105,650x = 48,436,967,056
5. Step 5: Solve for x
   x = 48,436,967,056/105,650
6. Step 6: Final answer
   x = 458,466.32