Calculate the Sum: 78156 + 19763 Using Vertical Addition

To solve this problem, we will perform vertical addition of the two numbers:

We have: \begin{array}{c@{}c@{}c@{}c@{}c@{}c} & & & & & \\ & 7 & 8 & 1 & 5 & 6 \\ + & 1 & 9 & 7 & 6 & 3 \\ \hline \end{array}

Let's add the numbers column by column from right to left:

• Units place: $6 + 3 = 9$. Write 9.
• Tens place: $5 + 6 = 11$. Write 1 and carry over 1 to the hundreds place.
• Hundreds place: $1 + 7 + 1 \, (\text{carried}) = 9$. Write 9.
• Thousands place: $8 + 9 = 17$. Write 7 and carry over 1 to the ten-thousands place.
• Ten-thousands place: $7 + 1 + 1 \, (\text{carried}) = 9$. Write 9.

Thus, the sum is $\boxed{97919}$.

The solution to the problem is $97919$, which matches choice :

97919