I was able to accomplish the goal and add a few extras too it. Love learning this JavaScript!

/* RANDOM NUMBERS BETWEEN TWO USER PROVIDED NUMBERS */

var firstNum;
var secondNum;
var randNum;
var step;
var quantity;

alert('Please enter three integers, a lower number, a higher number, and the quantity of random numbers to generate. The computer will generate that quantity of random numbers in between those two numbers.');

firstNum = parseFloat(prompt('Please enter the lower number:'));
secondNum = parseFloat(prompt('Please enter the higher number:'));
quantity = parseFloat(prompt('Please enter the quantity of numbers:'));

document.write('<H1>Random Numbers Within User Provided Parameters.</H1><p></p><H2>The lower number you entered is: ' + firstNum + '</H2><H2>The higher number you entered is: ' + secondNum +'</H2><p></p>');


function getRand(lo,hi) {
  return Math.round( Math.random() * (hi-lo)) + lo + 1;
}

document.write('<P></P><H1>The ' + quantity + ' random numbers:</H1><p></p><H3>');

for (step = 0; step < quantity; step++) {
  // Runs quantity times, with values of step 0 through quantity-1.
  randNum = getRand(firstNum,secondNum);
  document.write('<span>' + randNum + ' | </span>');
}

document.write('</H3><p></p>');