"forging through" is correct and usable in written English.
You can use it to convey the idea that someone is determinedly and resolutely pressing on, despite any challenges or obstacles. For example: Despite the many difficulties he faced, he kept forging through, determined to reach his goal.
Ms. Bond deftly shuttled the ensemble between architectural states: now crouching and floor-bound, now forging through space en masse.
The airplanes are like silver-birds on the wing, forging through the air in a wonderfully exact formation.
Quite often, though, the two of us find ourselves forging through familiar and hideous commercial stretches that all but dare us to guess the state we are in.
She ended resolutely: "I don't know anything other to do than just keep forging through it, and just keep taking the slings and arrows that come with being a woman in the arena".
For decades the Delta Queen has been one of the most magnificent sights on the Mississippi and Ohio rivers, forging through the water as her calliope steam organ blasts merrily away.But it looks as though the federal Coast Guard, applying the same regulations to riverboats as to ocean-going ships, will no longer allow the Delta Queen to carry passengers on overnight excursions.
She was 88. "Robin arrived home with her sister, Sally-Ann, forging through flooded and blocked roads to be with her beloved mother in time to see her," Tom Cibrowski, a senior executive producer of "Good Morning America," said in an e-mail to the entire news division on Thursday.
Forged through consensus.
These friendships were forged through abstract argument.
Family, for Wodehouse, was forged through love, not genetics.
It's also rooted in our ties to the Egyptian people, forged through a longstanding partnership.
Forged through repetition, they are a symbol of excellence and the pursuit of perfection.
