Finding the Third Proportional to 80,019 and 116,739

Step by Step Solution

1. Step 1: Write the proportion equation
   80,019 : 116,739 = 116,739 : x
2. Step 2: Convert to fraction form
   80,019/116,739 = 116,739/x
3. Step 3: Cross multiply
   80,019x = 116,739 × 116,739
4. Step 4: Simplify right side
   80,019x = 13,627,994,121
5. Step 5: Solve for x
   x = 13,627,994,121/80,019
6. Step 6: Final answer
   x = 170,309.48