Finding the Third Proportional to 584.91 and 1,279.72

Step by Step Solution

1. Step 1: Write the proportion equation
   584.91 : 1,279.72 = 1,279.72 : x
2. Step 2: Convert to fraction form
   584.91/1,279.72 = 1,279.72/x
3. Step 3: Cross multiply
   584.91x = 1,279.72 × 1,279.72
4. Step 4: Simplify right side
   584.91x = 1,637,680.08
5. Step 5: Solve for x
   x = 1,637,680.08/584.91
6. Step 6: Final answer
   x = 2,799.90