Finding the Third Proportional to 82,108 and 176,494

Step by Step Solution

1. Step 1: Write the proportion equation
   82,108 : 176,494 = 176,494 : x
2. Step 2: Convert to fraction form
   82,108/176,494 = 176,494/x
3. Step 3: Cross multiply
   82,108x = 176,494 × 176,494
4. Step 4: Simplify right side
   82,108x = 31,150,132,036
5. Step 5: Solve for x
   x = 31,150,132,036/82,108
6. Step 6: Final answer
   x = 379,379.99