Finding the Third Proportional to 139.38 and 301.06

Step by Step Solution

1. Step 1: Write the proportion equation
   139.38 : 301.06 = 301.06 : x
2. Step 2: Convert to fraction form
   139.38/301.06 = 301.06/x
3. Step 3: Cross multiply
   139.38x = 301.06 × 301.06
4. Step 4: Simplify right side
   139.38x = 90,637.45
5. Step 5: Solve for x
   x = 90,637.45/139.38
6. Step 6: Final answer
   x = 650.30