Finding the Third Proportional to 105,806 and 220,380

Step by Step Solution

1. Step 1: Write the proportion equation
   105,806 : 220,380 = 220,380 : x
2. Step 2: Convert to fraction form
   105,806/220,380 = 220,380/x
3. Step 3: Cross multiply
   105,806x = 220,380 × 220,380
4. Step 4: Simplify right side
   105,806x = 48,567,344,400
5. Step 5: Solve for x
   x = 48,567,344,400/105,806
6. Step 6: Final answer
   x = 459,022.59