Finding the Third Proportional to 80,898 and 177,900

Step by Step Solution

1. Step 1: Write the proportion equation
   80,898 : 177,900 = 177,900 : x
2. Step 2: Convert to fraction form
   80,898/177,900 = 177,900/x
3. Step 3: Cross multiply
   80,898x = 177,900 × 177,900
4. Step 4: Simplify right side
   80,898x = 31,648,410,000
5. Step 5: Solve for x
   x = 31,648,410,000/80,898
6. Step 6: Final answer
   x = 391,213.75