Finding the Third Proportional to 555.33 and 789.33

Step by Step Solution

1. Step 1: Write the proportion equation
   555.33 : 789.33 = 789.33 : x
2. Step 2: Convert to fraction form
   555.33/789.33 = 789.33/x
3. Step 3: Cross multiply
   555.33x = 789.33 × 789.33
4. Step 4: Simplify right side
   555.33x = 623,038.89
5. Step 5: Solve for x
   x = 623,038.89/555.33
6. Step 6: Final answer
   x = 1,121.93