Finding the Third Proportional to 413.72 and 906.47

Step by Step Solution

1. Step 1: Write the proportion equation
   413.72 : 906.47 = 906.47 : x
2. Step 2: Convert to fraction form
   413.72/906.47 = 906.47/x
3. Step 3: Cross multiply
   413.72x = 906.47 × 906.47
4. Step 4: Simplify right side
   413.72x = 821,685.59
5. Step 5: Solve for x
   x = 821,685.59/413.72
6. Step 6: Final answer
   x = 1,986.10