Finding the Third Proportional to 72,822 and 109,747

Step by Step Solution

1. Step 1: Write the proportion equation
   72,822 : 109,747 = 109,747 : x
2. Step 2: Convert to fraction form
   72,822/109,747 = 109,747/x
3. Step 3: Cross multiply
   72,822x = 109,747 × 109,747
4. Step 4: Simplify right side
   72,822x = 12,044,404,009
5. Step 5: Solve for x
   x = 12,044,404,009/72,822
6. Step 6: Final answer
   x = 165,395.13