Finding the Third Proportional to 584.59 and 1,279.16

Step by Step Solution

1. Step 1: Write the proportion equation
   584.59 : 1,279.16 = 1,279.16 : x
2. Step 2: Convert to fraction form
   584.59/1,279.16 = 1,279.16/x
3. Step 3: Cross multiply
   584.59x = 1,279.16 × 1,279.16
4. Step 4: Simplify right side
   584.59x = 1,636,240.71
5. Step 5: Solve for x
   x = 1,636,240.71/584.59
6. Step 6: Final answer
   x = 2,798.94