Finding the Third Proportional to 105,543 and 224,040

Step by Step Solution

1. Step 1: Write the proportion equation
   105,543 : 224,040 = 224,040 : x
2. Step 2: Convert to fraction form
   105,543/224,040 = 224,040/x
3. Step 3: Cross multiply
   105,543x = 224,040 × 224,040
4. Step 4: Simplify right side
   105,543x = 50,193,921,600
5. Step 5: Solve for x
   x = 50,193,921,600/105,543
6. Step 6: Final answer
   x = 475,577.93