That's right. I wanted to avoid large countries seeming to be successful just because they are large. So I've removed population as a variable in calculating success. China needs to be 59 times as successful as Australia to keep pace. If they don't, Australia is doing better. That's the point.
Your measure is actually much the same as mine. I think you'll find that China still needs to be 59 times as successful to keep pace with Australia. It's share of the global population is 59 times larger than Australia's, however you slice it.
The difference is that in my list, 50 countries are currently unlisted. So China is actually in 10th position out of 60 (my random cut-off). The actual worst performer of the largest 60 countries is very likely to be India. China was the weakest amongst the gold medal-winning countries to the end of day two. 50 countries have no gold. I haven't listed them. Over the course of the Olympics, there will be more participants.