Finding the Third Proportional to 457.81 and 1,080.31

Step by Step Solution

1. Step 1: Write the proportion equation
   457.81 : 1,080.31 = 1,080.31 : x
2. Step 2: Convert to fraction form
   457.81/1,080.31 = 1,080.31/x
3. Step 3: Cross multiply
   457.81x = 1,080.31 × 1,080.31
4. Step 4: Simplify right side
   457.81x = 1,167,075.10
5. Step 5: Solve for x
   x = 1,167,075.10/457.81
6. Step 6: Final answer
   x = 2,549.24