Finding the Third Proportional to 52.86 and 115.33

Step by Step Solution

1. Step 1: Write the proportion equation
   52.86 : 115.33 = 115.33 : x
2. Step 2: Convert to fraction form
   52.86/115.33 = 115.33/x
3. Step 3: Cross multiply
   52.86x = 115.33 × 115.33
4. Step 4: Simplify right side
   52.86x = 13,301.03
5. Step 5: Solve for x
   x = 13,301.03/52.86
6. Step 6: Final answer
   x = 251.63