Finding the Third Proportional to 72,824 and 109,236

Step by Step Solution

1. Step 1: Write the proportion equation
   72,824 : 109,236 = 109,236 : x
2. Step 2: Convert to fraction form
   72,824/109,236 = 109,236/x
3. Step 3: Cross multiply
   72,824x = 109,236 × 109,236
4. Step 4: Simplify right side
   72,824x = 11,932,503,696
5. Step 5: Solve for x
   x = 11,932,503,696/72,824
6. Step 6: Final answer
   x = 163,854