Finding the Third Proportional to 138.75 and 301.31

Step by Step Solution

1. Step 1: Write the proportion equation
   138.75 : 301.31 = 301.31 : x
2. Step 2: Convert to fraction form
   138.75/301.31 = 301.31/x
3. Step 3: Cross multiply
   138.75x = 301.31 × 301.31
4. Step 4: Simplify right side
   138.75x = 90,789.22
5. Step 5: Solve for x
   x = 90,789.22/138.75
6. Step 6: Final answer
   x = 654.34