Finding the Third Proportional to 137.25 and 301.03

Step by Step Solution

1. Step 1: Write the proportion equation
   137.25 : 301.03 = 301.03 : x
2. Step 2: Convert to fraction form
   137.25/301.03 = 301.03/x
3. Step 3: Cross multiply
   137.25x = 301.03 × 301.03
4. Step 4: Simplify right side
   137.25x = 90,619.81
5. Step 5: Solve for x
   x = 90,619.81/137.25
6. Step 6: Final answer
   x = 660.25