Finding the Third Proportional to 82,019 and 128,496

Step by Step Solution

1. Step 1: Write the proportion equation
   82,019 : 128,496 = 128,496 : x
2. Step 2: Convert to fraction form
   82,019/128,496 = 128,496/x
3. Step 3: Cross multiply
   82,019x = 128,496 × 128,496
4. Step 4: Simplify right side
   82,019x = 16,511,222,016
5. Step 5: Solve for x
   x = 16,511,222,016/82,019
6. Step 6: Final answer
   x = 201,309.72