Finding the Third Proportional to 72,820 and 109,744

Step by Step Solution

1. Step 1: Write the proportion equation
   72,820 : 109,744 = 109,744 : x
2. Step 2: Convert to fraction form
   72,820/109,744 = 109,744/x
3. Step 3: Cross multiply
   72,820x = 109,744 × 109,744
4. Step 4: Simplify right side
   72,820x = 12,043,745,536
5. Step 5: Solve for x
   x = 12,043,745,536/72,820
6. Step 6: Final answer
   x = 165,390.63