Finding the Third Proportional to 82,018 and 128,494

Step by Step Solution

1. Step 1: Write the proportion equation
   82,018 : 128,494 = 128,494 : x
2. Step 2: Convert to fraction form
   82,018/128,494 = 128,494/x
3. Step 3: Cross multiply
   82,018x = 128,494 × 128,494
4. Step 4: Simplify right side
   82,018x = 16,510,708,036
5. Step 5: Solve for x
   x = 16,510,708,036/82,018
6. Step 6: Final answer
   x = 201,305.91