Finding the Third Proportional to 458.69 and 1,004.38

Step by Step Solution

1. Step 1: Write the proportion equation
   458.69 : 1,004.38 = 1,004.38 : x
2. Step 2: Convert to fraction form
   458.69/1,004.38 = 1,004.38/x
3. Step 3: Cross multiply
   458.69x = 1,004.38 × 1,004.38
4. Step 4: Simplify right side
   458.69x = 1,008,769.14
5. Step 5: Solve for x
   x = 1,008,769.14/458.69
6. Step 6: Final answer
   x = 2,199.25