Bricacef is Cefpodoxime Proxetil
if am correct. If so its an antibiotic.
Usual dosage is 10mg/kg/day given in 2 divided doses. You have to check the strength too. If 50mg per 5 ml, your doctor would have advised around 75 mg for your kid. I guess your kid will be around 7.5 kg in weight.
The dose you have given in such a case is not too high or in toxic range.
So you need not worry. Be careful in future.
If you have doubts, you may speak to your Pediatrician
again and get reassured.
Hope my answer helps you.
Next time when you come with a query, please mention the weight of your kid too.