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In the year $1990$, the world's population was $5.3$ billion people. If the equation $P(x)=5.3(1.02)^{x}$ models the world's population for $x$ years after $1990$ and $P$ is in billions, then determine the population growth from $1997$ to $2000$.

A

$\text{372,636,000 people}$

B

$\text{147,530,000 people}$

C

$\text{987,000 people}$

D

$\text{223,490,000 people}$

E

$\text{1,119,000,000 people}$

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