Finding the Third Proportional to 123,920 and 263,824

Step by Step Solution

1. Step 1: Write the proportion equation
   123,920 : 263,824 = 263,824 : x
2. Step 2: Convert to fraction form
   123,920/263,824 = 263,824/x
3. Step 3: Cross multiply
   123,920x = 263,824 × 263,824
4. Step 4: Simplify right side
   123,920x = 69,603,102,976
5. Step 5: Solve for x
   x = 69,603,102,976/123,920
6. Step 6: Final answer
   x = 561,677.72