Finding the Third Proportional to 82,066 and 128,571

Step by Step Solution

1. Step 1: Write the proportion equation
   82,066 : 128,571 = 128,571 : x
2. Step 2: Convert to fraction form
   82,066/128,571 = 128,571/x
3. Step 3: Cross multiply
   82,066x = 128,571 × 128,571
4. Step 4: Simplify right side
   82,066x = 16,530,502,041
5. Step 5: Solve for x
   x = 16,530,502,041/82,066
6. Step 6: Final answer
   x = 201,429.36