Finding the Third Proportional to 413.75 and 561.69

Step by Step Solution

1. Step 1: Write the proportion equation
   413.75 : 561.69 = 561.69 : x
2. Step 2: Convert to fraction form
   413.75/561.69 = 561.69/x
3. Step 3: Cross multiply
   413.75x = 561.69 × 561.69
4. Step 4: Simplify right side
   413.75x = 315,492.85
5. Step 5: Solve for x
   x = 315,492.85/413.75
6. Step 6: Final answer
   x = 762.52