Finding the Third Proportional to 140.81 and 301.69

Step by Step Solution

1. Step 1: Write the proportion equation
   140.81 : 301.69 = 301.69 : x
2. Step 2: Convert to fraction form
   140.81/301.69 = 301.69/x
3. Step 3: Cross multiply
   140.81x = 301.69 × 301.69
4. Step 4: Simplify right side
   140.81x = 91,015.35
5. Step 5: Solve for x
   x = 91,015.35/140.81
6. Step 6: Final answer
   x = 646.36