Finding the Third Proportional to 65,039 and 139,780

Step by Step Solution

1. Step 1: Write the proportion equation
   65,039 : 139,780 = 139,780 : x
2. Step 2: Convert to fraction form
   65,039/139,780 = 139,780/x
3. Step 3: Cross multiply
   65,039x = 139,780 × 139,780
4. Step 4: Simplify right side
   65,039x = 19,538,448,400
5. Step 5: Solve for x
   x = 19,538,448,400/65,039
6. Step 6: Final answer
   x = 300,411.27