Finding the Third Proportional to 82,105 and 176,488

Step by Step Solution

1. Step 1: Write the proportion equation
   82,105 : 176,488 = 176,488 : x
2. Step 2: Convert to fraction form
   82,105/176,488 = 176,488/x
3. Step 3: Cross multiply
   82,105x = 176,488 × 176,488
4. Step 4: Simplify right side
   82,105x = 31,148,014,144
5. Step 5: Solve for x
   x = 31,148,014,144/82,105
6. Step 6: Final answer
   x = 379,368.05