Finding the Third Proportional to 57,378 and 123,057

Step by Step Solution

1. Step 1: Write the proportion equation
   57,378 : 123,057 = 123,057 : x
2. Step 2: Convert to fraction form
   57,378/123,057 = 123,057/x
3. Step 3: Cross multiply
   57,378x = 123,057 × 123,057
4. Step 4: Simplify right side
   57,378x = 15,143,025,249
5. Step 5: Solve for x
   x = 15,143,025,249/57,378
6. Step 6: Final answer
   x = 263,916.92