Finding the Third Proportional to 361.69 and 769.69

Step by Step Solution

1. Step 1: Write the proportion equation
   361.69 : 769.69 = 769.69 : x
2. Step 2: Convert to fraction form
   361.69/769.69 = 769.69/x
3. Step 3: Cross multiply
   361.69x = 769.69 × 769.69
4. Step 4: Simplify right side
   361.69x = 592,418.85
5. Step 5: Solve for x
   x = 592,418.85/361.69
6. Step 6: Final answer
   x = 1,637.93