Finding the Third Proportional to 105,706 and 220,156

Step by Step Solution

1. Step 1: Write the proportion equation
   105,706 : 220,156 = 220,156 : x
2. Step 2: Convert to fraction form
   105,706/220,156 = 220,156/x
3. Step 3: Cross multiply
   105,706x = 220,156 × 220,156
4. Step 4: Simplify right side
   105,706x = 48,468,664,336
5. Step 5: Solve for x
   x = 48,468,664,336/105,706
6. Step 6: Final answer
   x = 458,523.30