Finding the Third Proportional to 171.94 and 413.53

Step by Step Solution

1. Step 1: Write the proportion equation
   171.94 : 413.53 = 413.53 : x
2. Step 2: Convert to fraction form
   171.94/413.53 = 413.53/x
3. Step 3: Cross multiply
   171.94x = 413.53 × 413.53
4. Step 4: Simplify right side
   171.94x = 171,008.09
5. Step 5: Solve for x
   x = 171,008.09/171.94
6. Step 6: Final answer
   x = 994.59