Finding the Third Proportional to 584.50 and 879.31

Step by Step Solution

1. Step 1: Write the proportion equation
   584.50 : 879.31 = 879.31 : x
2. Step 2: Convert to fraction form
   584.50/879.31 = 879.31/x
3. Step 3: Cross multiply
   584.50x = 879.31 × 879.31
4. Step 4: Simplify right side
   584.50x = 773,190.47
5. Step 5: Solve for x
   x = 773,190.47/584.50
6. Step 6: Final answer
   x = 1,322.82