Finding the Third Proportional to 82,878 and 180,936

Step by Step Solution

1. Step 1: Write the proportion equation
   82,878 : 180,936 = 180,936 : x
2. Step 2: Convert to fraction form
   82,878/180,936 = 180,936/x
3. Step 3: Cross multiply
   82,878x = 180,936 × 180,936
4. Step 4: Simplify right side
   82,878x = 32,737,836,096
5. Step 5: Solve for x
   x = 32,737,836,096/82,878
6. Step 6: Final answer
   x = 395,012.38