Finding the Third Proportional to 138.38 and 301.32

Step by Step Solution

1. Step 1: Write the proportion equation
   138.38 : 301.32 = 301.32 : x
2. Step 2: Convert to fraction form
   138.38/301.32 = 301.32/x
3. Step 3: Cross multiply
   138.38x = 301.32 × 301.32
4. Step 4: Simplify right side
   138.38x = 90,796.28
5. Step 5: Solve for x
   x = 90,796.28/138.38
6. Step 6: Final answer
   x = 656.16