Finding the Third Proportional to 57,792 and 108,672

Step by Step Solution

1. Step 1: Write the proportion equation
   57,792 : 108,672 = 108,672 : x
2. Step 2: Convert to fraction form
   57,792/108,672 = 108,672/x
3. Step 3: Cross multiply
   57,792x = 108,672 × 108,672
4. Step 4: Simplify right side
   57,792x = 11,809,603,584
5. Step 5: Solve for x
   x = 11,809,603,584/57,792
6. Step 6: Final answer
   x = 204,346.68