Finding the Third Proportional to 356.25 and 769.38

Step by Step Solution

1. Step 1: Write the proportion equation
   356.25 : 769.38 = 769.38 : x
2. Step 2: Convert to fraction form
   356.25/769.38 = 769.38/x
3. Step 3: Cross multiply
   356.25x = 769.38 × 769.38
4. Step 4: Simplify right side
   356.25x = 591,937.89
5. Step 5: Solve for x
   x = 591,937.89/356.25
6. Step 6: Final answer
   x = 1,661.58