Bear population. To estimate the size

Question

Use a proportion to solve

of the bear
population on the Keweenaw Peninsula, conservationists
captured, tagged, and released 50 bears. One year later, a
random sample of 100 bears included only 2 tagged bears.
What is the conservationist’s estimate of the size of the
bear population

Answer 1

2/50=100/x cross multiply

2x=500 divide by 2

x=250 result

Answer 2

Azteca, 50(100) = 2500 not 250

or

it appears that 2/100 or 2% of the bear population was tagged.
So the 50 must be 2% of the bear population
.02x = 50
x = 50/.02 = 2500

Answer 3

I think that the answer is 2/100=50/2 cross multiply it to make it 2x2=4 and 50x 100 is 5000 or 2/100= 2/50 cross multiply it to get 100 and 200 divide it by 2 to get 100 and to get 50...I think i messsed up :/