Finding the Third Proportional to 105,624 and 219,951

Step by Step Solution

1. Step 1: Write the proportion equation
   105,624 : 219,951 = 219,951 : x
2. Step 2: Convert to fraction form
   105,624/219,951 = 219,951/x
3. Step 3: Cross multiply
   105,624x = 219,951 × 219,951
4. Step 4: Simplify right side
   105,624x = 48,378,442,401
5. Step 5: Solve for x
   x = 48,378,442,401/105,624
6. Step 6: Final answer
   x = 458,025.09