Finding the Third Proportional to 80,529 and 168,402

Step by Step Solution

1. Step 1: Write the proportion equation
   80,529 : 168,402 = 168,402 : x
2. Step 2: Convert to fraction form
   80,529/168,402 = 168,402/x
3. Step 3: Cross multiply
   80,529x = 168,402 × 168,402
4. Step 4: Simplify right side
   80,529x = 28,359,233,604
5. Step 5: Solve for x
   x = 28,359,233,604/80,529
6. Step 6: Final answer
   x = 352,161.75