Finding the Third Proportional to 75.56 and 141.56

Step by Step Solution

1. Step 1: Write the proportion equation
   75.56 : 141.56 = 141.56 : x
2. Step 2: Convert to fraction form
   75.56/141.56 = 141.56/x
3. Step 3: Cross multiply
   75.56x = 141.56 × 141.56
4. Step 4: Simplify right side
   75.56x = 20,039.94
5. Step 5: Solve for x
   x = 20,039.94/75.56
6. Step 6: Final answer
   x = 265.21