Finding the Third Proportional to 53.27 and 110.34

Step by Step Solution

1. Step 1: Write the proportion equation
   53.27 : 110.34 = 110.34 : x
2. Step 2: Convert to fraction form
   53.27/110.34 = 110.34/x
3. Step 3: Cross multiply
   53.27x = 110.34 × 110.34
4. Step 4: Simplify right side
   53.27x = 12,174.81
5. Step 5: Solve for x
   x = 12,174.81/53.27
6. Step 6: Final answer
   x = 228.56