Finding the Third Proportional to 458.72 and 1,065.23

Step by Step Solution

1. Step 1: Write the proportion equation
   458.72 : 1,065.23 = 1,065.23 : x
2. Step 2: Convert to fraction form
   458.72/1,065.23 = 1,065.23/x
3. Step 3: Cross multiply
   458.72x = 1,065.23 × 1,065.23
4. Step 4: Simplify right side
   458.72x = 1,134,724.27
5. Step 5: Solve for x
   x = 1,134,724.27/458.72
6. Step 6: Final answer
   x = 2,473.68