Finding the Third Proportional to 82,150 and 176,568

Step by Step Solution

1. Step 1: Write the proportion equation
   82,150 : 176,568 = 176,568 : x
2. Step 2: Convert to fraction form
   82,150/176,568 = 176,568/x
3. Step 3: Cross multiply
   82,150x = 176,568 × 176,568
4. Step 4: Simplify right side
   82,150x = 31,176,258,624
5. Step 5: Solve for x
   x = 31,176,258,624/82,150
6. Step 6: Final answer
   x = 379,504.06