Finding the Third Proportional to 359.28 and 769.82

Step by Step Solution

1. Step 1: Write the proportion equation
   359.28 : 769.82 = 769.82 : x
2. Step 2: Convert to fraction form
   359.28/769.82 = 769.82/x
3. Step 3: Cross multiply
   359.28x = 769.82 × 769.82
4. Step 4: Simplify right side
   359.28x = 592,617.30
5. Step 5: Solve for x
   x = 592,617.30/359.28
6. Step 6: Final answer
   x = 1,649.46