Finding the Third Proportional to 82,876 and 178,856

Step by Step Solution

1. Step 1: Write the proportion equation
   82,876 : 178,856 = 178,856 : x
2. Step 2: Convert to fraction form
   82,876/178,856 = 178,856/x
3. Step 3: Cross multiply
   82,876x = 178,856 × 178,856
4. Step 4: Simplify right side
   82,876x = 31,989,468,736
5. Step 5: Solve for x
   x = 31,989,468,736/82,876
6. Step 6: Final answer
   x = 385,991.95