Finding the Third Proportional to 82,826 and 178,766

Step by Step Solution

1. Step 1: Write the proportion equation
   82,826 : 178,766 = 178,766 : x
2. Step 2: Convert to fraction form
   82,826/178,766 = 178,766/x
3. Step 3: Cross multiply
   82,826x = 178,766 × 178,766
4. Step 4: Simplify right side
   82,826x = 31,957,282,756
5. Step 5: Solve for x
   x = 31,957,282,756/82,826
6. Step 6: Final answer
   x = 385,836.36