Finding the Third Proportional to 410.81 and 906.56

Step by Step Solution

1. Step 1: Write the proportion equation
   410.81 : 906.56 = 906.56 : x
2. Step 2: Convert to fraction form
   410.81/906.56 = 906.56/x
3. Step 3: Cross multiply
   410.81x = 906.56 × 906.56
4. Step 4: Simplify right side
   410.81x = 821,855.57
5. Step 5: Solve for x
   x = 821,855.57/410.81
6. Step 6: Final answer
   x = 2,000.56