Finding the Third Proportional to 362.60 and 518.27

Step by Step Solution

1. Step 1: Write the proportion equation
   362.60 : 518.27 = 518.27 : x
2. Step 2: Convert to fraction form
   362.60/518.27 = 518.27/x
3. Step 3: Cross multiply
   362.60x = 518.27 × 518.27
4. Step 4: Simplify right side
   362.60x = 268,607.36
5. Step 5: Solve for x
   x = 268,607.36/362.60
6. Step 6: Final answer
   x = 740.78