Using ROW_NUMBER() analytic function you could achieve it. However, you will need to do it using a sub-query. But you could always look it different using WITH clause.
The below query would prompt you to enter the value for column a, and return you the row with maximum value of column c. The first part of the WITH clause is only to build sample data for demonstration, you only need the second part, i.e. t.
For example, 
Enter value for a as 26:
SQL> WITH data AS
  2    (SELECT 26 AS a, 'R' AS b, 4 AS c FROM dual
  3    UNION ALL
  4    SELECT 26 AS a, 'T' AS b, 5 AS c FROM dual
  5    UNION ALL
  6    SELECT 26 AS a, 'S' AS b, 2 AS c FROM dual
  7    UNION ALL
  8    SELECT 25 AS a, 'Y' AS b, 2 AS c FROM dual
  9    UNION ALL
 10    SELECT 25 AS a, 'U' AS b, 3 AS c FROM dual
 11    UNION ALL
 12    SELECT 24 AS a, 'X' AS b, 3 AS c FROM dual
 13    UNION ALL
 14    SELECT 22 AS a, 'Z' AS b, 3 AS c FROM dual
 15    UNION ALL
 16    SELECT 21 AS a, 'P' AS b, 3 AS c FROM dual
 17    ),
 18    t AS
 19    ( SELECT a,b,c,row_number() OVER(PARTITION BY a ORDER BY c DESC) rn FROM DATA
 20    )
 21  SELECT a,b,c FROM t WHERE a = &1 AND rn = 1;
Enter value for 1: 26
old  21: SELECT a,b,c FROM t WHERE a = &1 AND rn = 1
new  21: SELECT a,b,c FROM t WHERE a = 26 AND rn = 1
         A B          C
---------- - ----------
        26 T          5
Enter value for a as 25:
SQL> WITH data AS
  2    (SELECT 26 AS a, 'R' AS b, 4 AS c FROM dual
  3    UNION ALL
  4    SELECT 26 AS a, 'T' AS b, 5 AS c FROM dual
  5    UNION ALL
  6    SELECT 26 AS a, 'S' AS b, 2 AS c FROM dual
  7    UNION ALL
  8    SELECT 25 AS a, 'Y' AS b, 2 AS c FROM dual
  9    UNION ALL
 10    SELECT 25 AS a, 'U' AS b, 3 AS c FROM dual
 11    UNION ALL
 12    SELECT 24 AS a, 'X' AS b, 3 AS c FROM dual
 13    UNION ALL
 14    SELECT 22 AS a, 'Z' AS b, 3 AS c FROM dual
 15    UNION ALL
 16    SELECT 21 AS a, 'P' AS b, 3 AS c FROM dual
 17    ),
 18    t AS
 19    ( SELECT a,b,c,row_number() OVER(PARTITION BY a ORDER BY c DESC) rn FROM DATA
 20    )
 21  SELECT a,b,c FROM t WHERE a = &1 AND rn = 1;
Enter value for 1: 25
old  21: SELECT a,b,c FROM t WHERE a = &1 AND rn = 1
new  21: SELECT a,b,c FROM t WHERE a = 25 AND rn = 1
         A B          C
---------- - ----------
        25 U          3