Finding the Third Proportional to 105,057 and 224,874

Step by Step Solution

1. Step 1: Write the proportion equation
   105,057 : 224,874 = 224,874 : x
2. Step 2: Convert to fraction form
   105,057/224,874 = 224,874/x
3. Step 3: Cross multiply
   105,057x = 224,874 × 224,874
4. Step 4: Simplify right side
   105,057x = 50,568,315,876
5. Step 5: Solve for x
   x = 50,568,315,876/105,057
6. Step 6: Final answer
   x = 481,341.71