Finding the Third Proportional to 82,898 and 178,756

Step by Step Solution

1. Step 1: Write the proportion equation
   82,898 : 178,756 = 178,756 : x
2. Step 2: Convert to fraction form
   82,898/178,756 = 178,756/x
3. Step 3: Cross multiply
   82,898x = 178,756 × 178,756
4. Step 4: Simplify right side
   82,898x = 31,953,707,536
5. Step 5: Solve for x
   x = 31,953,707,536/82,898
6. Step 6: Final answer
   x = 385,458.12