Finding the Third Proportional to 57,380 and 123,824

Step by Step Solution

1. Step 1: Write the proportion equation
   57,380 : 123,824 = 123,824 : x
2. Step 2: Convert to fraction form
   57,380/123,824 = 123,824/x
3. Step 3: Cross multiply
   57,380x = 123,824 × 123,824
4. Step 4: Simplify right side
   57,380x = 15,332,382,976
5. Step 5: Solve for x
   x = 15,332,382,976/57,380
6. Step 6: Final answer
   x = 267,207.79