Finding the Third Proportional to 427.31 and 769.69

Step by Step Solution

1. Step 1: Write the proportion equation
   427.31 : 769.69 = 769.69 : x
2. Step 2: Convert to fraction form
   427.31/769.69 = 769.69/x
3. Step 3: Cross multiply
   427.31x = 769.69 × 769.69
4. Step 4: Simplify right side
   427.31x = 592,418.85
5. Step 5: Solve for x
   x = 592,418.85/427.31
6. Step 6: Final answer
   x = 1,386.38