Finding the Third Proportional to 105,648 and 219,996

Step by Step Solution

1. Step 1: Write the proportion equation
   105,648 : 219,996 = 219,996 : x
2. Step 2: Convert to fraction form
   105,648/219,996 = 219,996/x
3. Step 3: Cross multiply
   105,648x = 219,996 × 219,996
4. Step 4: Simplify right side
   105,648x = 48,398,240,016
5. Step 5: Solve for x
   x = 48,398,240,016/105,648
6. Step 6: Final answer
   x = 458,108.44