Finding the Third Proportional to 53.27 and 118.37

Step by Step Solution

1. Step 1: Write the proportion equation
   53.27 : 118.37 = 118.37 : x
2. Step 2: Convert to fraction form
   53.27/118.37 = 118.37/x
3. Step 3: Cross multiply
   53.27x = 118.37 × 118.37
4. Step 4: Simplify right side
   53.27x = 14,011.91
5. Step 5: Solve for x
   x = 14,011.91/53.27
6. Step 6: Final answer
   x = 263.05