"Sweet Katherine, so happy you said yes! I'm thrilled to be marrying you. Proud to live boldly in faith with you. Here we go!" wrote the 39-year-old along with a picture of him cuddling up Schwarzenegger.
Also visible in the picture is the big rock on the latter's engagement finger.
The 'Guardians of the Galaxy' star was earlier married to Anna Farris. The two, who are parents to six-year-old son Jack, called it quits in 2017 and settled their divorce in November, last year.
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