Finding the Third Proportional to 80,756 and 176,904

Step by Step Solution

1. Step 1: Write the proportion equation
   80,756 : 176,904 = 176,904 : x
2. Step 2: Convert to fraction form
   80,756/176,904 = 176,904/x
3. Step 3: Cross multiply
   80,756x = 176,904 × 176,904
4. Step 4: Simplify right side
   80,756x = 31,295,025,216
5. Step 5: Solve for x
   x = 31,295,025,216/80,756
6. Step 6: Final answer
   x = 387,525.70