Finding the Third Proportional to 48,384 and 103,680

Step by Step Solution

1. Step 1: Write the proportion equation
   48,384 : 103,680 = 103,680 : x
2. Step 2: Convert to fraction form
   48,384/103,680 = 103,680/x
3. Step 3: Cross multiply
   48,384x = 103,680 × 103,680
4. Step 4: Simplify right side
   48,384x = 10,749,542,400
5. Step 5: Solve for x
   x = 10,749,542,400/48,384
6. Step 6: Final answer
   x = 222,171.43