Finding the Third Proportional to 82,758 and 177,180

Step by Step Solution

1. Step 1: Write the proportion equation
   82,758 : 177,180 = 177,180 : x
2. Step 2: Convert to fraction form
   82,758/177,180 = 177,180/x
3. Step 3: Cross multiply
   82,758x = 177,180 × 177,180
4. Step 4: Simplify right side
   82,758x = 31,392,752,400
5. Step 5: Solve for x
   x = 31,392,752,400/82,758
6. Step 6: Final answer
   x = 379,331.94