Finding the Third Proportional to 360.28 and 789.33

Step by Step Solution

1. Step 1: Write the proportion equation
   360.28 : 789.33 = 789.33 : x
2. Step 2: Convert to fraction form
   360.28/789.33 = 789.33/x
3. Step 3: Cross multiply
   360.28x = 789.33 × 789.33
4. Step 4: Simplify right side
   360.28x = 623,038.89
5. Step 5: Solve for x
   x = 623,038.89/360.28
6. Step 6: Final answer
   x = 1,729.31