Finding the Third Proportional to 584.72 and 1,222.59

Step by Step Solution

1. Step 1: Write the proportion equation
   584.72 : 1,222.59 = 1,222.59 : x
2. Step 2: Convert to fraction form
   584.72/1,222.59 = 1,222.59/x
3. Step 3: Cross multiply
   584.72x = 1,222.59 × 1,222.59
4. Step 4: Simplify right side
   584.72x = 1,494,735.48
5. Step 5: Solve for x
   x = 1,494,735.48/584.72
6. Step 6: Final answer
   x = 2,556.33