Finding the Third Proportional to 53.16 and 117.28

Step by Step Solution

1. Step 1: Write the proportion equation
   53.16 : 117.28 = 117.28 : x
2. Step 2: Convert to fraction form
   53.16/117.28 = 117.28/x
3. Step 3: Cross multiply
   53.16x = 117.28 × 117.28
4. Step 4: Simplify right side
   53.16x = 13,754.89
5. Step 5: Solve for x
   x = 13,754.89/53.16
6. Step 6: Final answer
   x = 258.76