Finding the Third Proportional to 82,898 and 181,348

Step by Step Solution

1. Step 1: Write the proportion equation
   82,898 : 181,348 = 181,348 : x
2. Step 2: Convert to fraction form
   82,898/181,348 = 181,348/x
3. Step 3: Cross multiply
   82,898x = 181,348 × 181,348
4. Step 4: Simplify right side
   82,898x = 32,887,097,104
5. Step 5: Solve for x
   x = 32,887,097,104/82,898
6. Step 6: Final answer
   x = 396,717.62