This is inaccurate. Much fewer than 200,000 people were killed immediately (totaled across both bombings), including both incinerated and not, civilian and not.
http://en.wikipedia.org/wiki/Atomic_bombings_of_Hiroshima_an...
Casualties and losses: 20 U.S., Dutch, British prisoners of war killed 90,000–166,000 killed in Hiroshima 39,000–80,000 killed in Nagasaki Total: 129,000–246,000+ killed
It doesn't say if these are all immediate casualties (does it even matter), but it does mention estimates for Nagasaki immediate casualties is between 22,000-75,000.
Wikipedia gives an immediate death toll of 70,000–80,000 people, of whom 20,000 were soldiers for Hiroshima and 22,000-75,000 people for Nagasaki. This is far from hundreds of thousands of incinerated civilians.
I don't think 120,000 lives qualifies as splitting hairs. I thought I was delivering good news, but judging by my karma, it has not been well received.