Finding the Third Proportional to 517.75 and 837.38

Step by Step Solution

1. Step 1: Write the proportion equation
   517.75 : 837.38 = 837.38 : x
2. Step 2: Convert to fraction form
   517.75/837.38 = 837.38/x
3. Step 3: Cross multiply
   517.75x = 837.38 × 837.38
4. Step 4: Simplify right side
   517.75x = 701,196.89
5. Step 5: Solve for x
   x = 701,196.89/517.75
6. Step 6: Final answer
   x = 1,354.32