Finding the Third Proportional to 119,724 and 179,256

Step by Step Solution

1. Step 1: Write the proportion equation
   119,724 : 179,256 = 179,256 : x
2. Step 2: Convert to fraction form
   119,724/179,256 = 179,256/x
3. Step 3: Cross multiply
   119,724x = 179,256 × 179,256
4. Step 4: Simplify right side
   119,724x = 32,132,713,536
5. Step 5: Solve for x
   x = 32,132,713,536/119,724
6. Step 6: Final answer
   x = 268,389.91