Calculate the Sum: 95781 + 22245 in Vertical Format

$\begin{aligned} &95781\\ +& \\ &22245 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

To solve this problem, we'll follow these steps:

• Step 1: Align the numbers vertically for addition.
• Step 2: Add each column starting from the rightmost digit (units) and moving to the left.
• Step 3: Record any carry needed for sums exceeding 9.

Let's execute the vertical addition:
Write the numbers aligning each digit according to its place value:

$\begin{array}{c} 95781 \\ +22245 \\ \end{array}$

Step-by-step vertical addition:

• Starting with the units place: $1 + 5 = 6$. Record 6.
• Tens place: $8 + 4 = 12$. Record 2, carry over 1 to the hundreds place.
• Hundreds place: $7 + 2 = 9$, add the carry 1 to get $10$. Record 0, carry over 1 to the thousands place.
• Thousands place: $5 + 2 = 7$, add the carry 1 to get $8$. Record 8.
• Ten-thousands place: $9 + 2 = 11$. Record 1 and carry over 1 to the next place.
• Since there's no next place, record this final carry in the ten-thousands place: 1.

Therefore, the sum of 95781 and 22245 is:

$\boxed{118026}$

The correct choice in the multiple-choice options is option 2, which matches our calculated sum.

Therefore, the solution to the problem is 118026.