Finding the Third Proportional to 54,198 and 123,075

Step by Step Solution

1. Step 1: Write the proportion equation
   54,198 : 123,075 = 123,075 : x
2. Step 2: Convert to fraction form
   54,198/123,075 = 123,075/x
3. Step 3: Cross multiply
   54,198x = 123,075 × 123,075
4. Step 4: Simplify right side
   54,198x = 15,147,455,625
5. Step 5: Solve for x
   x = 15,147,455,625/54,198
6. Step 6: Final answer
   x = 279,483.66