Finding the Third Proportional to 82,162 and 176,778

Step by Step Solution

1. Step 1: Write the proportion equation
   82,162 : 176,778 = 176,778 : x
2. Step 2: Convert to fraction form
   82,162/176,778 = 176,778/x
3. Step 3: Cross multiply
   82,162x = 176,778 × 176,778
4. Step 4: Simplify right side
   82,162x = 31,250,461,284
5. Step 5: Solve for x
   x = 31,250,461,284/82,162
6. Step 6: Final answer
   x = 380,351.76