Finding the Third Proportional to 105,449 and 219,648

Step by Step Solution

1. Step 1: Write the proportion equation
   105,449 : 219,648 = 219,648 : x
2. Step 2: Convert to fraction form
   105,449/219,648 = 219,648/x
3. Step 3: Cross multiply
   105,449x = 219,648 × 219,648
4. Step 4: Simplify right side
   105,449x = 48,245,243,904
5. Step 5: Solve for x
   x = 48,245,243,904/105,449
6. Step 6: Final answer
   x = 457,522.06