Finding the Third Proportional to 137.34 and 301.41

Step by Step Solution

1. Step 1: Write the proportion equation
   137.34 : 301.41 = 301.41 : x
2. Step 2: Convert to fraction form
   137.34/301.41 = 301.41/x
3. Step 3: Cross multiply
   137.34x = 301.41 × 301.41
4. Step 4: Simplify right side
   137.34x = 90,845.73
5. Step 5: Solve for x
   x = 90,845.73/137.34
6. Step 6: Final answer
   x = 661.45