Finding the Third Proportional to 288.33 and 413.27

Step by Step Solution

1. Step 1: Write the proportion equation
   288.33 : 413.27 = 413.27 : x
2. Step 2: Convert to fraction form
   288.33/413.27 = 413.27/x
3. Step 3: Cross multiply
   288.33x = 413.27 × 413.27
4. Step 4: Simplify right side
   288.33x = 170,788.88
5. Step 5: Solve for x
   x = 170,788.88/288.33
6. Step 6: Final answer
   x = 592.35