Finding the Third Proportional to 72,876 and 109,824

Step by Step Solution

1. Step 1: Write the proportion equation
   72,876 : 109,824 = 109,824 : x
2. Step 2: Convert to fraction form
   72,876/109,824 = 109,824/x
3. Step 3: Cross multiply
   72,876x = 109,824 × 109,824
4. Step 4: Simplify right side
   72,876x = 12,061,310,976
5. Step 5: Solve for x
   x = 12,061,310,976/72,876
6. Step 6: Final answer
   x = 165,504.57