An Applet
is a Java component which handles the right calls to show up embedded in a web page. The product you have (the JAR file) contains everything necessary to run the program; however, it does not have the correct interface (the applet) for running that program embedded in a web page.
Talk to the author of the product (of if that author is not available, look for documentation) and see if a applet interface is available. Perhaps it is only a matter of using a different class name. If it looks like such an interface is not available, then no one has done the necessary work to make it "embeddable" in a web page. Without knowing your product in more detail, it's not easy to determine if the effort to create an Applet interface into the product is easy or not.
If you don't have the source code, then the amount of effort to develop an Applet interface to what you have is even greater than the unknown amount of effort it would have been with the source code.
There are a few products that do allow applications to be viewed and controlled from a web browser, even when the application in question wasn't designed to be embedded in a web page. These products tend to be expensive and proprietary; but, if it is truly mission-critical (and if it makes enough money) then the expense and effort might be bearable. With such a solution, the web browser actually opens a window into a configured "application server" which launches the application in full screen mode every time the connection is established. Yes, it is an odd architecture; however, such an odd architecture exists purposefully as that's really the only way possible to do some things when the application can't run in other environments.
Look to Citrix for such a solution in the event that you can afford it (remember there's extra windows licenses involved) and you can tolerate it's performance and quirks.