Finding the Third Proportional to 594.56 and 874.69

Step by Step Solution

1. Step 1: Write the proportion equation
   594.56 : 874.69 = 874.69 : x
2. Step 2: Convert to fraction form
   594.56/874.69 = 874.69/x
3. Step 3: Cross multiply
   594.56x = 874.69 × 874.69
4. Step 4: Simplify right side
   594.56x = 765,078.22
5. Step 5: Solve for x
   x = 765,078.22/594.56
6. Step 6: Final answer
   x = 1,286.79