Finding the Third Proportional to 82,878 and 178,860

Step by Step Solution

1. Step 1: Write the proportion equation
   82,878 : 178,860 = 178,860 : x
2. Step 2: Convert to fraction form
   82,878/178,860 = 178,860/x
3. Step 3: Cross multiply
   82,878x = 178,860 × 178,860
4. Step 4: Simplify right side
   82,878x = 31,990,899,600
5. Step 5: Solve for x
   x = 31,990,899,600/82,878
6. Step 6: Final answer
   x = 385,999.90