JSFiddle - React, Tailwind, and code Playground

HTML

<div id="scrollable">
    <div id="centered">
    </div>
</div>
<div>
    <button id="scale3" type="button">
        Scale 3
    </button>
    <button id="scale05" type="button">
        Scale 0.5
    </button>
</div>

CSS

#centered {
    background-image: url("http://lorempixel.com/200/200/sports/1/");
    background-size: 100% 100%;
    height: 200px;
    left: 50%;
    margin-left: -100px;
    margin-top: -100px;
    position: absolute;
    top: 50%;
    transition: all 1s ease-out;
    width: 200px;
}

#scrollable {
    border: 1px solid red;
    height: 300px;
    overflow: auto;
    position: relative;
    width: 300px;
}

JavaScript

var originalWidth = 200; 
$('#scale3').on('click', function () {
    var dimension = originalWidth * 3;
    $('#centered').css({width: dimension, height: dimension, 'margin-left': -dimension / 2, 'margin-top': -dimension / 2});
});
$('#scale05').on('click', function () {
    var dimension = originalWidth / 2;
    $('#centered').css({width: dimension, height: dimension, 'margin-left': -dimension / 2, 'margin-top': -dimension / 2});
});