To find the product of two numbers, 217 and 217, and 183 and 183, we can use the multiplication method.

Multiplication Method:
1. Multiply the ones digit of the first number (7) with the ones digit of the second number (7). The product is 49.
2. Write down the ones digit of the product (9) and carry over the tens digit (4).
3. Multiply the tens digit of the first number (1) with the ones digit of the second number (7). The product is 7.
4. Add the carried over digit (4) to the product (7). The sum is 11.
5. Write down the tens digit of the sum (1) and carry over the hundreds digit (1).
6. Multiply the ones digit of the first number (7) with the tens digit of the second number (1). The product is 7.
7. Add the carried over digit (1) to the product (7). The sum is 8.
8. Write down the tens digit of the sum (8) and carry over the hundreds digit (0).
9. Multiply the tens digit of the first number (1) with the tens digit of the second number (1). The product is 1.
10. Write down the product (1) and the carried over digit (0).
11. Combine the results: 49, 11, 8, and 1.
12. The final product is 49181.

Calculating the First Product:
1. Multiply 217 by 217 using the multiplication method explained above.
2. The product is 49181.

Calculating the Second Product:
1. Multiply 183 by 183 using the multiplication method explained above.
2. The product is also 49181.

Comparing the Products:
1. The product of 217 and 217 is 49181.
2. The product of 183 and 183 is also 49181.

Therefore, the correct answer is option 'B', which states that the product of 217 x 217 and 183 x 183 is 80578.