Finding the Third Proportional to 348.89 and 766.27

Step by Step Solution

1. Step 1: Write the proportion equation
   348.89 : 766.27 = 766.27 : x
2. Step 2: Convert to fraction form
   348.89/766.27 = 766.27/x
3. Step 3: Cross multiply
   348.89x = 766.27 × 766.27
4. Step 4: Simplify right side
   348.89x = 587,163.01
5. Step 5: Solve for x
   x = 587,163.01/348.89
6. Step 6: Final answer
   x = 1,682.94