Finding the Third Proportional to 72,831 and 109,914

Step by Step Solution

1. Step 1: Write the proportion equation
   72,831 : 109,914 = 109,914 : x
2. Step 2: Convert to fraction form
   72,831/109,914 = 109,914/x
3. Step 3: Cross multiply
   72,831x = 109,914 × 109,914
4. Step 4: Simplify right side
   72,831x = 12,081,087,396
5. Step 5: Solve for x
   x = 12,081,087,396/72,831
6. Step 6: Final answer
   x = 165,878.37