Finding the Third Proportional to 82,882 and 178,868

Step by Step Solution

1. Step 1: Write the proportion equation
   82,882 : 178,868 = 178,868 : x
2. Step 2: Convert to fraction form
   82,882/178,868 = 178,868/x
3. Step 3: Cross multiply
   82,882x = 178,868 × 178,868
4. Step 4: Simplify right side
   82,882x = 31,993,761,424
5. Step 5: Solve for x
   x = 31,993,761,424/82,882
6. Step 6: Final answer
   x = 386,015.80