Finding the Third Proportional to 105,952 and 224,540

Step by Step Solution

1. Step 1: Write the proportion equation
   105,952 : 224,540 = 224,540 : x
2. Step 2: Convert to fraction form
   105,952/224,540 = 224,540/x
3. Step 3: Cross multiply
   105,952x = 224,540 × 224,540
4. Step 4: Simplify right side
   105,952x = 50,418,211,600
5. Step 5: Solve for x
   x = 50,418,211,600/105,952
6. Step 6: Final answer
   x = 475,858.99