Finding the Third Proportional to 57,380 and 123,548

Step by Step Solution

1. Step 1: Write the proportion equation
   57,380 : 123,548 = 123,548 : x
2. Step 2: Convert to fraction form
   57,380/123,548 = 123,548/x
3. Step 3: Cross multiply
   57,380x = 123,548 × 123,548
4. Step 4: Simplify right side
   57,380x = 15,264,108,304
5. Step 5: Solve for x
   x = 15,264,108,304/57,380
6. Step 6: Final answer
   x = 266,017.92