Finding the Third Proportional to 496.69 and 694.69

Step by Step Solution

1. Step 1: Write the proportion equation
   496.69 : 694.69 = 694.69 : x
2. Step 2: Convert to fraction form
   496.69/694.69 = 694.69/x
3. Step 3: Cross multiply
   496.69x = 694.69 × 694.69
4. Step 4: Simplify right side
   496.69x = 482,590.72
5. Step 5: Solve for x
   x = 482,590.72/496.69
6. Step 6: Final answer
   x = 971.62