Finding the Third Proportional to 82,270 and 171,006

Step by Step Solution

1. Step 1: Write the proportion equation
   82,270 : 171,006 = 171,006 : x
2. Step 2: Convert to fraction form
   82,270/171,006 = 171,006/x
3. Step 3: Cross multiply
   82,270x = 171,006 × 171,006
4. Step 4: Simplify right side
   82,270x = 29,243,052,036
5. Step 5: Solve for x
   x = 29,243,052,036/82,270
6. Step 6: Final answer
   x = 355,452.19