Finding the Third Proportional to 105,540 and 227,920

Step by Step Solution

1. Step 1: Write the proportion equation
   105,540 : 227,920 = 227,920 : x
2. Step 2: Convert to fraction form
   105,540/227,920 = 227,920/x
3. Step 3: Cross multiply
   105,540x = 227,920 × 227,920
4. Step 4: Simplify right side
   105,540x = 51,947,526,400
5. Step 5: Solve for x
   x = 51,947,526,400/105,540
6. Step 6: Final answer
   x = 492,207.00