Finding the Third Proportional to 411.75 and 801.56

Step by Step Solution

1. Step 1: Write the proportion equation
   411.75 : 801.56 = 801.56 : x
2. Step 2: Convert to fraction form
   411.75/801.56 = 801.56/x
3. Step 3: Cross multiply
   411.75x = 801.56 × 801.56
4. Step 4: Simplify right side
   411.75x = 642,502.44
5. Step 5: Solve for x
   x = 642,502.44/411.75
6. Step 6: Final answer
   x = 1,560.42