Finding the Third Proportional to 105,688 and 220,120

Step by Step Solution

1. Step 1: Write the proportion equation
   105,688 : 220,120 = 220,120 : x
2. Step 2: Convert to fraction form
   105,688/220,120 = 220,120/x
3. Step 3: Cross multiply
   105,688x = 220,120 × 220,120
4. Step 4: Simplify right side
   105,688x = 48,452,814,400
5. Step 5: Solve for x
   x = 48,452,814,400/105,688
6. Step 6: Final answer
   x = 458,451.43