Finding the Third Proportional to 64,078 and 137,626

Step by Step Solution

1. Step 1: Write the proportion equation
   64,078 : 137,626 = 137,626 : x
2. Step 2: Convert to fraction form
   64,078/137,626 = 137,626/x
3. Step 3: Cross multiply
   64,078x = 137,626 × 137,626
4. Step 4: Simplify right side
   64,078x = 18,940,915,876
5. Step 5: Solve for x
   x = 18,940,915,876/64,078
6. Step 6: Final answer
   x = 295,591.56