Finding the Third Proportional to 82,878 and 177,390

Step by Step Solution

1. Step 1: Write the proportion equation
   82,878 : 177,390 = 177,390 : x
2. Step 2: Convert to fraction form
   82,878/177,390 = 177,390/x
3. Step 3: Cross multiply
   82,878x = 177,390 × 177,390
4. Step 4: Simplify right side
   82,878x = 31,467,212,100
5. Step 5: Solve for x
   x = 31,467,212,100/82,878
6. Step 6: Final answer
   x = 379,681.12