Finding the Third Proportional to 196.59 and 413.02

Step by Step Solution

1. Step 1: Write the proportion equation
   196.59 : 413.02 = 413.02 : x
2. Step 2: Convert to fraction form
   196.59/413.02 = 413.02/x
3. Step 3: Cross multiply
   196.59x = 413.02 × 413.02
4. Step 4: Simplify right side
   196.59x = 170,581.91
5. Step 5: Solve for x
   x = 170,581.91/196.59
6. Step 6: Final answer
   x = 867.69