Finding the Third Proportional to 413.27 and 547.82

Step by Step Solution

1. Step 1: Write the proportion equation
   413.27 : 547.82 = 547.82 : x
2. Step 2: Convert to fraction form
   413.27/547.82 = 547.82/x
3. Step 3: Cross multiply
   413.27x = 547.82 × 547.82
4. Step 4: Simplify right side
   413.27x = 300,104.42
5. Step 5: Solve for x
   x = 300,104.42/413.27
6. Step 6: Final answer
   x = 726.18