Finding the Third Proportional to 519.75 and 730.27

Step by Step Solution

1. Step 1: Write the proportion equation
   519.75 : 730.27 = 730.27 : x
2. Step 2: Convert to fraction form
   519.75/730.27 = 730.27/x
3. Step 3: Cross multiply
   519.75x = 730.27 × 730.27
4. Step 4: Simplify right side
   519.75x = 533,287.88
5. Step 5: Solve for x
   x = 533,287.88/519.75
6. Step 6: Final answer
   x = 1,026.05