Finding the Third Proportional to 714.09 and 978.61

Step by Step Solution

1. Step 1: Write the proportion equation
   714.09 : 978.61 = 978.61 : x
2. Step 2: Convert to fraction form
   714.09/978.61 = 978.61/x
3. Step 3: Cross multiply
   714.09x = 978.61 × 978.61
4. Step 4: Simplify right side
   714.09x = 957,676.31
5. Step 5: Solve for x
   x = 957,676.31/714.09
6. Step 6: Final answer
   x = 1,341.11