Finding the Third Proportional to 307.55 and 413.27

Step by Step Solution

1. Step 1: Write the proportion equation
   307.55 : 413.27 = 413.27 : x
2. Step 2: Convert to fraction form
   307.55/413.27 = 413.27/x
3. Step 3: Cross multiply
   307.55x = 413.27 × 413.27
4. Step 4: Simplify right side
   307.55x = 170,788.88
5. Step 5: Solve for x
   x = 170,788.88/307.55
6. Step 6: Final answer
   x = 555.33