Finding the Third Proportional to 255.63 and 413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   255.63 : 413.50 = 413.50 : x
2. Step 2: Convert to fraction form
   255.63/413.50 = 413.50/x
3. Step 3: Cross multiply
   255.63x = 413.50 × 413.50
4. Step 4: Simplify right side
   255.63x = 170,982.25
5. Step 5: Solve for x
   x = 170,982.25/255.63
6. Step 6: Final answer
   x = 668.88