Finding the Third Proportional to 82,109 and 176,878

Step by Step Solution

1. Step 1: Write the proportion equation
   82,109 : 176,878 = 176,878 : x
2. Step 2: Convert to fraction form
   82,109/176,878 = 176,878/x
3. Step 3: Cross multiply
   82,109x = 176,878 × 176,878
4. Step 4: Simplify right side
   82,109x = 31,285,826,884
5. Step 5: Solve for x
   x = 31,285,826,884/82,109
6. Step 6: Final answer
   x = 381,027.99