Finding the Third Proportional to 82,886 and 178,876

Step by Step Solution

1. Step 1: Write the proportion equation
   82,886 : 178,876 = 178,876 : x
2. Step 2: Convert to fraction form
   82,886/178,876 = 178,876/x
3. Step 3: Cross multiply
   82,886x = 178,876 × 178,876
4. Step 4: Simplify right side
   82,886x = 31,996,623,376
5. Step 5: Solve for x
   x = 31,996,623,376/82,886
6. Step 6: Final answer
   x = 386,031.70