Finding the Third Proportional to 465.33 and 766.34

Step by Step Solution

1. Step 1: Write the proportion equation
   465.33 : 766.34 = 766.34 : x
2. Step 2: Convert to fraction form
   465.33/766.34 = 766.34/x
3. Step 3: Cross multiply
   465.33x = 766.34 × 766.34
4. Step 4: Simplify right side
   465.33x = 587,270.77
5. Step 5: Solve for x
   x = 587,270.77/465.33
6. Step 6: Final answer
   x = 1,262.06