Finding the Third Proportional to 708.19 and 1,019.81

Step by Step Solution

1. Step 1: Write the proportion equation
   708.19 : 1,019.81 = 1,019.81 : x
2. Step 2: Convert to fraction form
   708.19/1,019.81 = 1,019.81/x
3. Step 3: Cross multiply
   708.19x = 1,019.81 × 1,019.81
4. Step 4: Simplify right side
   708.19x = 1,040,017.54
5. Step 5: Solve for x
   x = 1,040,017.54/708.19
6. Step 6: Final answer
   x = 1,468.56