Finding the Third Proportional to 336.50 and 517.38

Step by Step Solution

1. Step 1: Write the proportion equation
   336.50 : 517.38 = 517.38 : x
2. Step 2: Convert to fraction form
   336.50/517.38 = 517.38/x
3. Step 3: Cross multiply
   336.50x = 517.38 × 517.38
4. Step 4: Simplify right side
   336.50x = 267,676.89
5. Step 5: Solve for x
   x = 267,676.89/336.50
6. Step 6: Final answer
   x = 795.47