Finding the Third Proportional to 53.16 and 112.64

Step by Step Solution

1. Step 1: Write the proportion equation
   53.16 : 112.64 = 112.64 : x
2. Step 2: Convert to fraction form
   53.16/112.64 = 112.64/x
3. Step 3: Cross multiply
   53.16x = 112.64 × 112.64
4. Step 4: Simplify right side
   53.16x = 12,687.91
5. Step 5: Solve for x
   x = 12,687.91/53.16
6. Step 6: Final answer
   x = 238.69