Finding the Third Proportional to 233.51 and 518.27

Step by Step Solution

1. Step 1: Write the proportion equation
   233.51 : 518.27 = 518.27 : x
2. Step 2: Convert to fraction form
   233.51/518.27 = 518.27/x
3. Step 3: Cross multiply
   233.51x = 518.27 × 518.27
4. Step 4: Simplify right side
   233.51x = 268,607.36
5. Step 5: Solve for x
   x = 268,607.36/233.51
6. Step 6: Final answer
   x = 1,150.31