Finding the Third Proportional to 413.27 and 900.22

Step by Step Solution

1. Step 1: Write the proportion equation
   413.27 : 900.22 = 900.22 : x
2. Step 2: Convert to fraction form
   413.27/900.22 = 900.22/x
3. Step 3: Cross multiply
   413.27x = 900.22 × 900.22
4. Step 4: Simplify right side
   413.27x = 810,387.64
5. Step 5: Solve for x
   x = 810,387.64/413.27
6. Step 6: Final answer
   x = 1,960.93