Finding the Third Proportional to 584.72 and 1,159.31

Step by Step Solution

1. Step 1: Write the proportion equation
   584.72 : 1,159.31 = 1,159.31 : x
2. Step 2: Convert to fraction form
   584.72/1,159.31 = 1,159.31/x
3. Step 3: Cross multiply
   584.72x = 1,159.31 × 1,159.31
4. Step 4: Simplify right side
   584.72x = 1,344,005.47
5. Step 5: Solve for x
   x = 1,344,005.47/584.72
6. Step 6: Final answer
   x = 2,298.55