Finding the Third Proportional to 105,540 and 224,034

Step by Step Solution

1. Step 1: Write the proportion equation
   105,540 : 224,034 = 224,034 : x
2. Step 2: Convert to fraction form
   105,540/224,034 = 224,034/x
3. Step 3: Cross multiply
   105,540x = 224,034 × 224,034
4. Step 4: Simplify right side
   105,540x = 50,191,233,156
5. Step 5: Solve for x
   x = 50,191,233,156/105,540
6. Step 6: Final answer
   x = 475,565.98