Finding the Third Proportional to 64,002 and 139,647

Step by Step Solution

1. Step 1: Write the proportion equation
   64,002 : 139,647 = 139,647 : x
2. Step 2: Convert to fraction form
   64,002/139,647 = 139,647/x
3. Step 3: Cross multiply
   64,002x = 139,647 × 139,647
4. Step 4: Simplify right side
   64,002x = 19,501,284,609
5. Step 5: Solve for x
   x = 19,501,284,609/64,002
6. Step 6: Final answer
   x = 304,698.05