Finding the Third Proportional to 82,912 and 181,006

Step by Step Solution

1. Step 1: Write the proportion equation
   82,912 : 181,006 = 181,006 : x
2. Step 2: Convert to fraction form
   82,912/181,006 = 181,006/x
3. Step 3: Cross multiply
   82,912x = 181,006 × 181,006
4. Step 4: Simplify right side
   82,912x = 32,763,172,036
5. Step 5: Solve for x
   x = 32,763,172,036/82,912
6. Step 6: Final answer
   x = 395,155.97