Finding the Third Proportional to 82,019 and 133,928

Step by Step Solution

1. Step 1: Write the proportion equation
   82,019 : 133,928 = 133,928 : x
2. Step 2: Convert to fraction form
   82,019/133,928 = 133,928/x
3. Step 3: Cross multiply
   82,019x = 133,928 × 133,928
4. Step 4: Simplify right side
   82,019x = 17,936,709,184
5. Step 5: Solve for x
   x = 17,936,709,184/82,019
6. Step 6: Final answer
   x = 218,689.68