Finding the Third Proportional to 714.56 and 997.69

Step by Step Solution

1. Step 1: Write the proportion equation
   714.56 : 997.69 = 997.69 : x
2. Step 2: Convert to fraction form
   714.56/997.69 = 997.69/x
3. Step 3: Cross multiply
   714.56x = 997.69 × 997.69
4. Step 4: Simplify right side
   714.56x = 995,380.35
5. Step 5: Solve for x
   x = 995,380.35/714.56
6. Step 6: Final answer
   x = 1,392.99