Finding the Third Proportional to 81,878 and 178,981

Step by Step Solution

1. Step 1: Write the proportion equation
   81,878 : 178,981 = 178,981 : x
2. Step 2: Convert to fraction form
   81,878/178,981 = 178,981/x
3. Step 3: Cross multiply
   81,878x = 178,981 × 178,981
4. Step 4: Simplify right side
   81,878x = 32,034,198,361
5. Step 5: Solve for x
   x = 32,034,198,361/81,878
6. Step 6: Final answer
   x = 391,243.05