Finding the Third Proportional to 53.16 and 115.59

Step by Step Solution

1. Step 1: Write the proportion equation
   53.16 : 115.59 = 115.59 : x
2. Step 2: Convert to fraction form
   53.16/115.59 = 115.59/x
3. Step 3: Cross multiply
   53.16x = 115.59 × 115.59
4. Step 4: Simplify right side
   53.16x = 13,361.92
5. Step 5: Solve for x
   x = 13,361.92/53.16
6. Step 6: Final answer
   x = 251.37