E145 CREW WAS GIVEN CLRNC TO CROSS A RWY AT CLE THAT REQUIRED A LNDG B737 TO GO AROUND.

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I WAS HOLDING SHORT OF THE L PARALLEL RWY AT NIGHT. TWR TOLD US TO CROSS; NO DELAY; TFC ON SHORT FINAL FOR L; POS AND HOLD ON R. FROM ANGLED HOLDING POS; IT IS IMPOSSIBLE TO SEE FINAL APCH PATH FROM L SEAT OF ACFT. FO SAID HE THOUGHT IT LOOKED OK; WE HURRIED ACROSS THE L RWY TOWARD THE R AS CLRED. AS YOU ENTER THE RWY; THE TAXI LINE TURNS PERPENDICULAR TO THE RWYS AND IT IS POSSIBLE TO SEE THE APCH PATH FROM THE L SEAT. IT BECAME OBVIOUS THAT APCHING ACFT WAS QUITE CLOSE; AND I INCREASED THRUST SIGNIFICANTLY TO HURRY ACROSS THE RWY. JUST AS WE WERE CLRING THE L RWY TWR TOLD THE APCHING ACT TO GO AROUND. I'M SURE THE CLOSE PROX OF THE APCHING ACFT; COMBINED WITH THE ENG NOISE OF OUR OWN ACFT AS WE HURRIED ACROSS WAS ALARMING TO ANY OF OUR PAX WHO MAY HAVE BEEN PAYING ATTN. CONTRIBUTING FACTORS WERE DEFINITELY: 1)A HIGH VOLUME OF TFC AT THE ARPT RESULTING IN PRESSURE ON CTLRS TO GET TFC ACROSS THE L RWY (LNDG RWY) AND ON TO THE R (DEPARTING RWY). 2) DECREASED ABILITY TO JUDGE DISTANCE OF ONCOMING ACFT AT NIGHT; AND 3) ANGLED POS AT THE HOLD SHORT POINT; MAKING IT VERY DIFFICULT TO SEE FINAL APCH.