Finding the Third Proportional to 111,546 and 179,568

Step by Step Solution

1. Step 1: Write the proportion equation
   111,546 : 179,568 = 179,568 : x
2. Step 2: Convert to fraction form
   111,546/179,568 = 179,568/x
3. Step 3: Cross multiply
   111,546x = 179,568 × 179,568
4. Step 4: Simplify right side
   111,546x = 32,244,666,624
5. Step 5: Solve for x
   x = 32,244,666,624/111,546
6. Step 6: Final answer
   x = 289,070.58