Finding the Third Proportional to 82,108.69 and 176,878.27

Step by Step Solution

1. Step 1: Write the proportion equation
   82,108.69 : 176,878.27 = 176,878.27 : x
2. Step 2: Convert to fraction form
   82,108.69/176,878.27 = 176,878.27/x
3. Step 3: Cross multiply
   82,108.69x = 176,878.27 × 176,878.27
4. Step 4: Simplify right side
   82,108.69x = 31,285,920,850.51
5. Step 5: Solve for x
   x = 31,285,920,850.51/82,108.69
6. Step 6: Final answer
   x = 381,030.58