Finding the Third Proportional to 584.58 and 1,279.27

Step by Step Solution

1. Step 1: Write the proportion equation
   584.58 : 1,279.27 = 1,279.27 : x
2. Step 2: Convert to fraction form
   584.58/1,279.27 = 1,279.27/x
3. Step 3: Cross multiply
   584.58x = 1,279.27 × 1,279.27
4. Step 4: Simplify right side
   584.58x = 1,636,520.54
5. Step 5: Solve for x
   x = 1,636,520.54/584.58
6. Step 6: Final answer
   x = 2,799.49