I measured my thermistor with my DMM at about 220k at room temperature and have a 22k dividing resistor as shown on the link. Do I need to do something else with my circuit or am I ok?
It should be OK, however as the impedance is higher it might need longer to settle down when swapping inputs. To do this take a reading of one analogue input, delay a few milliseconds and then take the reading again. Disregard the first reading and use the second one.
While playing with some code to directly control mux channel selection I found that a delay(50), 50millisec, was a good value to get a stable and accurate reading after selecting a different channel.