The measures of two angles of a triangle are given. Find the measure of the third angle. $57.4^{\circ}, 74^{\circ}$ The measure of the third angle is (Simplify your answer. Type an integer or a decimal.)

Step 1 ：Given the measures of two angles of a triangle are \(57.4^{\circ}\) and \(74^{\circ}\).

Step 2 ：The sum of the angles in a triangle is always \(180^{\circ}\).

Step 3 ：Therefore, to find the measure of the third angle, we need to subtract the sum of the given angles from \(180^{\circ}\).

Step 4 ：Let's denote the third angle as \(\text{angle3}\).

Step 5 ：So, \(\text{angle3} = 180 - (57.4 + 74)\).

Step 6 ：Calculating the above expression gives \(\text{angle3} = 48.599999999999994^{\circ}\).

Step 7 ：However, the result is not exactly a round number due to the precision of floating point arithmetic. We can round the result to the nearest tenth to get a cleaner answer.

Step 8 ：So, the rounded measure of the third angle is \(48.6^{\circ}\).

Step 9 ：Final Answer: The measure of the third angle is \(\boxed{48.6^{\circ}}\).