Finding the Third Proportional to 72,111 and 107,568

Step by Step Solution

1. Step 1: Write the proportion equation
   72,111 : 107,568 = 107,568 : x
2. Step 2: Convert to fraction form
   72,111/107,568 = 107,568/x
3. Step 3: Cross multiply
   72,111x = 107,568 × 107,568
4. Step 4: Simplify right side
   72,111x = 11,570,874,624
5. Step 5: Solve for x
   x = 11,570,874,624/72,111
6. Step 6: Final answer
   x = 160,459.22