Finding the Third Proportional to 105,967 and 220,556

Step by Step Solution

1. Step 1: Write the proportion equation
   105,967 : 220,556 = 220,556 : x
2. Step 2: Convert to fraction form
   105,967/220,556 = 220,556/x
3. Step 3: Cross multiply
   105,967x = 220,556 × 220,556
4. Step 4: Simplify right side
   105,967x = 48,644,949,136
5. Step 5: Solve for x
   x = 48,644,949,136/105,967
6. Step 6: Final answer
   x = 459,057.53