Finding the Third Proportional to 457.31 and 1,017.56

Step by Step Solution

1. Step 1: Write the proportion equation
   457.31 : 1,017.56 = 1,017.56 : x
2. Step 2: Convert to fraction form
   457.31/1,017.56 = 1,017.56/x
3. Step 3: Cross multiply
   457.31x = 1,017.56 × 1,017.56
4. Step 4: Simplify right side
   457.31x = 1,035,433.44
5. Step 5: Solve for x
   x = 1,035,433.44/457.31
6. Step 6: Final answer
   x = 2,264.17