Finding the Third Proportional to 337.08 and 520.59

Step by Step Solution

1. Step 1: Write the proportion equation
   337.08 : 520.59 = 520.59 : x
2. Step 2: Convert to fraction form
   337.08/520.59 = 520.59/x
3. Step 3: Cross multiply
   337.08x = 520.59 × 520.59
4. Step 4: Simplify right side
   337.08x = 271,017.85
5. Step 5: Solve for x
   x = 271,017.85/337.08
6. Step 6: Final answer
   x = 804.02