Finding the Third Proportional to 75.42 and 114.56

Step by Step Solution

1. Step 1: Write the proportion equation
   75.42 : 114.56 = 114.56 : x
2. Step 2: Convert to fraction form
   75.42/114.56 = 114.56/x
3. Step 3: Cross multiply
   75.42x = 114.56 × 114.56
4. Step 4: Simplify right side
   75.42x = 13,124.57
5. Step 5: Solve for x
   x = 13,124.57/75.42
6. Step 6: Final answer
   x = 174.02