Finding the Third Proportional to 83,406 and 170,204

Step by Step Solution

1. Step 1: Write the proportion equation
   83,406 : 170,204 = 170,204 : x
2. Step 2: Convert to fraction form
   83,406/170,204 = 170,204/x
3. Step 3: Cross multiply
   83,406x = 170,204 × 170,204
4. Step 4: Simplify right side
   83,406x = 28,969,401,616
5. Step 5: Solve for x
   x = 28,969,401,616/83,406
6. Step 6: Final answer
   x = 347,329.95