Finding the Third Proportional to 114.75 and 243.56

Step by Step Solution

1. Step 1: Write the proportion equation
   114.75 : 243.56 = 243.56 : x
2. Step 2: Convert to fraction form
   114.75/243.56 = 243.56/x
3. Step 3: Cross multiply
   114.75x = 243.56 × 243.56
4. Step 4: Simplify right side
   114.75x = 59,322.69
5. Step 5: Solve for x
   x = 59,322.69/114.75
6. Step 6: Final answer
   x = 516.97