Finding the Third Proportional to 65,002 and 139,678

Step by Step Solution

1. Step 1: Write the proportion equation
   65,002 : 139,678 = 139,678 : x
2. Step 2: Convert to fraction form
   65,002/139,678 = 139,678/x
3. Step 3: Cross multiply
   65,002x = 139,678 × 139,678
4. Step 4: Simplify right side
   65,002x = 19,509,943,684
5. Step 5: Solve for x
   x = 19,509,943,684/65,002
6. Step 6: Final answer
   x = 300,143.74