Finding the Third Proportional to 53.48 and 114.12

Step by Step Solution

1. Step 1: Write the proportion equation
   53.48 : 114.12 = 114.12 : x
2. Step 2: Convert to fraction form
   53.48/114.12 = 114.12/x
3. Step 3: Cross multiply
   53.48x = 114.12 × 114.12
4. Step 4: Simplify right side
   53.48x = 13,022.73
5. Step 5: Solve for x
   x = 13,022.73/53.48
6. Step 6: Final answer
   x = 243.49