Finding the Third Proportional to 137.25 and 301.25

Step by Step Solution

1. Step 1: Write the proportion equation
   137.25 : 301.25 = 301.25 : x
2. Step 2: Convert to fraction form
   137.25/301.25 = 301.25/x
3. Step 3: Cross multiply
   137.25x = 301.25 × 301.25
4. Step 4: Simplify right side
   137.25x = 90,751.56
5. Step 5: Solve for x
   x = 90,751.56/137.25
6. Step 6: Final answer
   x = 661.21