
Then switch to another Smith Chart that you normalize to the impedance of the line and plot the impedance there.
SMITH CHART TRANSMISSION LINE SERIES
In the olden days of paper charts, to use a series line with a different impedance, you would have to read off the impedance of your termination or network at the point where you are about to insert the line.

However, if the impedance of the line is not the same as the chart, then figuring out the center of the circle that it traces out is much more complicated. If the characteristic impedance of the series transmission line is the same as the chart impedance, then the arc that is drawn simply rotates around the center of the chart, which is pretty easy to code. The series transmission line drawing routine has been improved and tracks the mouse input more smoothly now.

You can then change the chart impedance back to whatever it was beforehand and the transmission line elements will remain unchanged. So, if you change the Chart normalization impedance to the value you would like to use for your transmission line section, then add whichever transmission line element you want, it will be added with that characteristic impedance. The elements adopt the same characteristic impedance as the chart normalization impedance (default is 50 Ohms). There's a trick you can use to have these transmission line elements use an arbitrary characteristic impedance. These include series, shorted shunt section, and open shunt section.

I've successfully added transmission line elements to the Smith Chart matching web app here on.
