Finding the Third Proportional to 48,096 and 103,104

Step by Step Solution

1. Step 1: Write the proportion equation
   48,096 : 103,104 = 103,104 : x
2. Step 2: Convert to fraction form
   48,096/103,104 = 103,104/x
3. Step 3: Cross multiply
   48,096x = 103,104 × 103,104
4. Step 4: Simplify right side
   48,096x = 10,630,434,816
5. Step 5: Solve for x
   x = 10,630,434,816/48,096
6. Step 6: Final answer
   x = 221,025.34