Finding the Third Proportional to 72,096 and 107,856

Step by Step Solution

1. Step 1: Write the proportion equation
   72,096 : 107,856 = 107,856 : x
2. Step 2: Convert to fraction form
   72,096/107,856 = 107,856/x
3. Step 3: Cross multiply
   72,096x = 107,856 × 107,856
4. Step 4: Simplify right side
   72,096x = 11,632,916,736
5. Step 5: Solve for x
   x = 11,632,916,736/72,096
6. Step 6: Final answer
   x = 161,353.15