Finding the Third Proportional to 82,156 and 168,204

Step by Step Solution

1. Step 1: Write the proportion equation
   82,156 : 168,204 = 168,204 : x
2. Step 2: Convert to fraction form
   82,156/168,204 = 168,204/x
3. Step 3: Cross multiply
   82,156x = 168,204 × 168,204
4. Step 4: Simplify right side
   82,156x = 28,292,585,616
5. Step 5: Solve for x
   x = 28,292,585,616/82,156
6. Step 6: Final answer
   x = 344,376.38