Finding the Third Proportional to 315.56 and 413.06

Step by Step Solution

1. Step 1: Write the proportion equation
   315.56 : 413.06 = 413.06 : x
2. Step 2: Convert to fraction form
   315.56/413.06 = 413.06/x
3. Step 3: Cross multiply
   315.56x = 413.06 × 413.06
4. Step 4: Simplify right side
   315.56x = 170,620.63
5. Step 5: Solve for x
   x = 170,620.63/315.56
6. Step 6: Final answer
   x = 540.69