Finding the Third Proportional to 105,786 and 220,320

Step by Step Solution

1. Step 1: Write the proportion equation
   105,786 : 220,320 = 220,320 : x
2. Step 2: Convert to fraction form
   105,786/220,320 = 220,320/x
3. Step 3: Cross multiply
   105,786x = 220,320 × 220,320
4. Step 4: Simplify right side
   105,786x = 48,540,902,400
5. Step 5: Solve for x
   x = 48,540,902,400/105,786
6. Step 6: Final answer
   x = 458,859.42