Finding the Third Proportional to 487.69 and 775.69

Step by Step Solution

1. Step 1: Write the proportion equation
   487.69 : 775.69 = 775.69 : x
2. Step 2: Convert to fraction form
   487.69/775.69 = 775.69/x
3. Step 3: Cross multiply
   487.69x = 775.69 × 775.69
4. Step 4: Simplify right side
   487.69x = 601,691.10
5. Step 5: Solve for x
   x = 601,691.10/487.69
6. Step 6: Final answer
   x = 1,233.76