Finding the Third Proportional to 105,878 and 220,468

Step by Step Solution

1. Step 1: Write the proportion equation
   105,878 : 220,468 = 220,468 : x
2. Step 2: Convert to fraction form
   105,878/220,468 = 220,468/x
3. Step 3: Cross multiply
   105,878x = 220,468 × 220,468
4. Step 4: Simplify right side
   105,878x = 48,606,139,024
5. Step 5: Solve for x
   x = 48,606,139,024/105,878
6. Step 6: Final answer
   x = 459,076.85