Finding the Third Proportional to 137.69 and 301.81

Step by Step Solution

1. Step 1: Write the proportion equation
   137.69 : 301.81 = 301.81 : x
2. Step 2: Convert to fraction form
   137.69/301.81 = 301.81/x
3. Step 3: Cross multiply
   137.69x = 301.81 × 301.81
4. Step 4: Simplify right side
   137.69x = 91,090.79
5. Step 5: Solve for x
   x = 91,090.79/137.69
6. Step 6: Final answer
   x = 661.58