Bridge eth0 and wlan0

I have a computer, C, a router, R, and a Raspberry Pi, P.  They are connected: Internet R P C Now I want C to be able to access the internet. The P has wlan0 and eth0, so my first thought was to bridge eth0 and wlan0, but that is not possible due to the nature of Wi-Fi, I've learned. The next approach is to add a DHCP server to P and let C lease an IP number.  It works fine; ip route on C gives: `10.254.239.0/27 dev eth0 src 10.254.239.13 default via 10.254.239.10 dev eth0 ` and ifconfig on P gives

eth0      Link encap:Ethernet  HWaddr b8:27:eb:44:bb:71  
          inet addr:10.254.239.10  Bcast:10.254.239.31  Mask:255.255.255.224
          inet6 addr: fe80::3206:e7e:fb7e:23d5/64 Scope:Link
          UP BROADCAST RUNNING MULTICAST  MTU:1500  Metric:1
          RX packets:569 errors:0 dropped:0 overruns:0 frame:0
          TX packets:235 errors:0 dropped:0 overruns:0 carrier:0
          collisions:0 txqueuelen:1000 
          RX bytes:142936 (139.5 KiB)  TX bytes:50384 (49.2 KiB)

lo        Link encap:Local Loopback  
          inet addr:127.0.0.1  Mask:255.0.0.0
          inet6 addr: ::1/128 Scope:Host
          UP LOOPBACK RUNNING  MTU:65536  Metric:1
          RX packets:19 errors:0 dropped:0 overruns:0 frame:0
          TX packets:19 errors:0 dropped:0 overruns:0 carrier:0
          collisions:0 txqueuelen:1 
          RX bytes:1444 (1.4 KiB)  TX bytes:1444 (1.4 KiB)

wlan0     Link encap:Ethernet  HWaddr b8:27:eb:11:ee:24  
          inet addr:192.168.0.106  Bcast:192.168.0.255  Mask:255.255.255.0
          inet6 addr: fe80::2501:6a8:8bcf:4a40/64 Scope:Link
          UP BROADCAST RUNNING MULTICAST  MTU:1500  Metric:1
          RX packets:5415 errors:0 dropped:4989 overruns:0 frame:0
          TX packets:454 errors:0 dropped:0 overruns:0 carrier:0
          collisions:0 txqueuelen:1000 
          RX bytes:815495 (796.3 KiB)  TX bytes:49230 (48.0 KiB)

C can ping P but not R, leaving me to believe that P has some routing error. How can I configure P to pass traffic between R and C? ip route on P gives:

default via 192.168.0.1 dev wlan0  metric 303 
10.254.239.0/27 dev eth0  proto kernel  scope link  src 10.254.239.10 
192.168.0.0/24 dev wlan0  proto kernel  scope link  src 192.168.0.106  metric 303 

Also on P:

$ cat /proc/sys/net/ipv4/ip_forward
1