MHB Probability distribution: Estimate the size of the fox population

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In a park , 200 foxes are tagged. In 100 sighting, 14 were tagged. Estimate the size of the fox population ?

This is how approached .

200 tagged : Population 14 tagged : 100
(200x100/14)= Estimated Population = 1,429

I wonder if this is right !
 
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I get the same number. I would use the reasoning that approximately 14% of the total population was tagged, and 200 is 14% of about 1429 (rounded to the nearest integer). :)
 
Thx
 
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