Finding the Third Proportional to 132.05 and 194.27

Step by Step Solution

1. Step 1: Write the proportion equation
   132.05 : 194.27 = 194.27 : x
2. Step 2: Convert to fraction form
   132.05/194.27 = 194.27/x
3. Step 3: Cross multiply
   132.05x = 194.27 × 194.27
4. Step 4: Simplify right side
   132.05x = 37,742.17
5. Step 5: Solve for x
   x = 37,742.17/132.05
6. Step 6: Final answer
   x = 285.82