Finding the Third Proportional to 411.38 and 899.81

Step by Step Solution

1. Step 1: Write the proportion equation
   411.38 : 899.81 = 899.81 : x
2. Step 2: Convert to fraction form
   411.38/899.81 = 899.81/x
3. Step 3: Cross multiply
   411.38x = 899.81 × 899.81
4. Step 4: Simplify right side
   411.38x = 809,662.54
5. Step 5: Solve for x
   x = 809,662.54/411.38
6. Step 6: Final answer
   x = 1,968.19