Finding the Third Proportional to 517 and 1,123.25

Step by Step Solution

1. Step 1: Write the proportion equation
   517 : 1,123.25 = 1,123.25 : x
2. Step 2: Convert to fraction form
   517/1,123.25 = 1,123.25/x
3. Step 3: Cross multiply
   517x = 1,123.25 × 1,123.25
4. Step 4: Simplify right side
   517x = 1,261,690.56
5. Step 5: Solve for x
   x = 1,261,690.56/517
6. Step 6: Final answer
   x = 2,440.41