Finding the Third Proportional to 519.50 and 781.38

Step by Step Solution

1. Step 1: Write the proportion equation
   519.50 : 781.38 = 781.38 : x
2. Step 2: Convert to fraction form
   519.50/781.38 = 781.38/x
3. Step 3: Cross multiply
   519.50x = 781.38 × 781.38
4. Step 4: Simplify right side
   519.50x = 610,546.89
5. Step 5: Solve for x
   x = 610,546.89/519.50
6. Step 6: Final answer
   x = 1,175.26