The relationship between speed, frequency and wavelength of a wave is:
[tex]v=\lambda f[/tex]
where v is the speed, [tex]\lambda[/tex] the wavelength and f the frequency.
In our problem, the frequency of the middle d note is f=293.66 Hz, while the speed of the wave (which is a sound wave) is v=343.06 m/s. Using the previous relationship, we can find the wavelength:
[tex]\lambda= \frac{v}{f} = \frac{343.06 m/s}{293.66 Hz}=1.168 m [/tex]
Converting into centimeters, we have:
[tex]\lambda= 1.168 m =1.168 \cdot 10^2 cm =116.8 cm[/tex]
