Finding the Third Proportional to 59,804 and 128,824

Step by Step Solution

1. Step 1: Write the proportion equation
   59,804 : 128,824 = 128,824 : x
2. Step 2: Convert to fraction form
   59,804/128,824 = 128,824/x
3. Step 3: Cross multiply
   59,804x = 128,824 × 128,824
4. Step 4: Simplify right side
   59,804x = 16,595,622,976
5. Step 5: Solve for x
   x = 16,595,622,976/59,804
6. Step 6: Final answer
   x = 277,500.22