Finding the Third Proportional to 682.88 and 738.56

Step by Step Solution

1. Step 1: Write the proportion equation
   682.88 : 738.56 = 738.56 : x
2. Step 2: Convert to fraction form
   682.88/738.56 = 738.56/x
3. Step 3: Cross multiply
   682.88x = 738.56 × 738.56
4. Step 4: Simplify right side
   682.88x = 545,474.57
5. Step 5: Solve for x
   x = 545,474.57/682.88
6. Step 6: Final answer
   x = 798.79