Finding the Third Proportional to 82,898 and 178,900

Step by Step Solution

1. Step 1: Write the proportion equation
   82,898 : 178,900 = 178,900 : x
2. Step 2: Convert to fraction form
   82,898/178,900 = 178,900/x
3. Step 3: Cross multiply
   82,898x = 178,900 × 178,900
4. Step 4: Simplify right side
   82,898x = 32,005,210,000
5. Step 5: Solve for x
   x = 32,005,210,000/82,898
6. Step 6: Final answer
   x = 386,079.40