Finding the Third Proportional to 47,688 and 103,680

Step by Step Solution

1. Step 1: Write the proportion equation
   47,688 : 103,680 = 103,680 : x
2. Step 2: Convert to fraction form
   47,688/103,680 = 103,680/x
3. Step 3: Cross multiply
   47,688x = 103,680 × 103,680
4. Step 4: Simplify right side
   47,688x = 10,749,542,400
5. Step 5: Solve for x
   x = 10,749,542,400/47,688
6. Step 6: Final answer
   x = 225,413.99