Charlie Sheen Faces Huge Back Pay in Support Battle

has been ordered to pay $500,000 to his third ex-wife Brooke Mueller as their legal battle finally draws to an end.

Mueller sued Sheen for over $15 million this past December, insisting he .

In her initial complaint, Mueller argued that Sheen had been ordered to furnish her with a monthly $55,000 from April 2010 onwards, but alleged that in July 2011 he began making either partial or no payments.

Sheen's representative argued that Mueller was 'not entitled to any child support' because he had cared for the children while she battled addiction.

Now, in court documents obtained by the Daily Mail, the pair have arrived at an arrangement in which he will pay her far less than the amount she first demanded.

Under the terms of their agreement, Sheen owes Mueller a total of $500,000, half of which is due by July 10, with the remainder to be paid by September 1.

The Daily Mail has contacted Sheen and Mueller's representatives for comment.

Mueller and Sheen exchanged vows in 2008, commencing a turbulent marriage buffeted by their respective substance abuse struggles until they divorced in 2011.

In 2013, Sheen's second ex-wife Denise Richards stepped in and temporarily cared for the twins after the government .

Earlier last year, Mueller remarked that Sheen remained 'my first call for help,' saying: 'He's always there to help me and pick up the pieces'; pictured 2008