Finding the Third Proportional to 72,821 and 109,745

Step by Step Solution

1. Step 1: Write the proportion equation
   72,821 : 109,745 = 109,745 : x
2. Step 2: Convert to fraction form
   72,821/109,745 = 109,745/x
3. Step 3: Cross multiply
   72,821x = 109,745 × 109,745
4. Step 4: Simplify right side
   72,821x = 12,043,965,025
5. Step 5: Solve for x
   x = 12,043,965,025/72,821
6. Step 6: Final answer
   x = 165,391.37