Finding the Third Proportional to 194.72 and 301.41

Step by Step Solution

1. Step 1: Write the proportion equation
   194.72 : 301.41 = 301.41 : x
2. Step 2: Convert to fraction form
   194.72/301.41 = 301.41/x
3. Step 3: Cross multiply
   194.72x = 301.41 × 301.41
4. Step 4: Simplify right side
   194.72x = 90,845.73
5. Step 5: Solve for x
   x = 90,845.73/194.72
6. Step 6: Final answer
   x = 466.55