Finding the Third Proportional to 705.38 and 1,078.31

Step by Step Solution

1. Step 1: Write the proportion equation
   705.38 : 1,078.31 = 1,078.31 : x
2. Step 2: Convert to fraction form
   705.38/1,078.31 = 1,078.31/x
3. Step 3: Cross multiply
   705.38x = 1,078.31 × 1,078.31
4. Step 4: Simplify right side
   705.38x = 1,162,757.85
5. Step 5: Solve for x
   x = 1,162,757.85/705.38
6. Step 6: Final answer
   x = 1,648.43