Finding the Third Proportional to 48,456 and 103,824

Step by Step Solution

1. Step 1: Write the proportion equation
   48,456 : 103,824 = 103,824 : x
2. Step 2: Convert to fraction form
   48,456/103,824 = 103,824/x
3. Step 3: Cross multiply
   48,456x = 103,824 × 103,824
4. Step 4: Simplify right side
   48,456x = 10,779,422,976
5. Step 5: Solve for x
   x = 10,779,422,976/48,456
6. Step 6: Final answer
   x = 222,457.96