Finding the Third Proportional to 249.89 and 583.69

Step by Step Solution

1. Step 1: Write the proportion equation
   249.89 : 583.69 = 583.69 : x
2. Step 2: Convert to fraction form
   249.89/583.69 = 583.69/x
3. Step 3: Cross multiply
   249.89x = 583.69 × 583.69
4. Step 4: Simplify right side
   249.89x = 340,691.10
5. Step 5: Solve for x
   x = 340,691.10/249.89
6. Step 6: Final answer
   x = 1,363.36