Finding the Third Proportional to 82,271 and 171,002

Step by Step Solution

1. Step 1: Write the proportion equation
   82,271 : 171,002 = 171,002 : x
2. Step 2: Convert to fraction form
   82,271/171,002 = 171,002/x
3. Step 3: Cross multiply
   82,271x = 171,002 × 171,002
4. Step 4: Simplify right side
   82,271x = 29,241,684,004
5. Step 5: Solve for x
   x = 29,241,684,004/82,271
6. Step 6: Final answer
   x = 355,431.25