Finding the Third Proportional to 339.56 and 529.69

Step by Step Solution

1. Step 1: Write the proportion equation
   339.56 : 529.69 = 529.69 : x
2. Step 2: Convert to fraction form
   339.56/529.69 = 529.69/x
3. Step 3: Cross multiply
   339.56x = 529.69 × 529.69
4. Step 4: Simplify right side
   339.56x = 280,568.85
5. Step 5: Solve for x
   x = 280,568.85/339.56
6. Step 6: Final answer
   x = 826.27