Finding the Third Proportional to 140.59 and 301.91

Step by Step Solution

1. Step 1: Write the proportion equation
   140.59 : 301.91 = 301.91 : x
2. Step 2: Convert to fraction form
   140.59/301.91 = 301.91/x
3. Step 3: Cross multiply
   140.59x = 301.91 × 301.91
4. Step 4: Simplify right side
   140.59x = 91,147.38
5. Step 5: Solve for x
   x = 91,147.38/140.59
6. Step 6: Final answer
   x = 648.30