Finding the Third Proportional to 339.19 and 584.72

Step by Step Solution

1. Step 1: Write the proportion equation
   339.19 : 584.72 = 584.72 : x
2. Step 2: Convert to fraction form
   339.19/584.72 = 584.72/x
3. Step 3: Cross multiply
   339.19x = 584.72 × 584.72
4. Step 4: Simplify right side
   339.19x = 341,896.02
5. Step 5: Solve for x
   x = 341,896.02/339.19
6. Step 6: Final answer
   x = 1,007.99