Finding the Third Proportional to 366.33 and 762.89

Step by Step Solution

1. Step 1: Write the proportion equation
   366.33 : 762.89 = 762.89 : x
2. Step 2: Convert to fraction form
   366.33/762.89 = 762.89/x
3. Step 3: Cross multiply
   366.33x = 762.89 × 762.89
4. Step 4: Simplify right side
   366.33x = 582,002.11
5. Step 5: Solve for x
   x = 582,002.11/366.33
6. Step 6: Final answer
   x = 1,588.75