Finding the Third Proportional to 82,367 and 168,616

Step by Step Solution

1. Step 1: Write the proportion equation
   82,367 : 168,616 = 168,616 : x
2. Step 2: Convert to fraction form
   82,367/168,616 = 168,616/x
3. Step 3: Cross multiply
   82,367x = 168,616 × 168,616
4. Step 4: Simplify right side
   82,367x = 28,431,355,456
5. Step 5: Solve for x
   x = 28,431,355,456/82,367
6. Step 6: Final answer
   x = 345,178.96