Finding the Third Proportional to 498.66 and 694.83

Step by Step Solution

1. Step 1: Write the proportion equation
   498.66 : 694.83 = 694.83 : x
2. Step 2: Convert to fraction form
   498.66/694.83 = 694.83/x
3. Step 3: Cross multiply
   498.66x = 694.83 × 694.83
4. Step 4: Simplify right side
   498.66x = 482,786.12
5. Step 5: Solve for x
   x = 482,786.12/498.66
6. Step 6: Final answer
   x = 968.17