Finding the Third Proportional to 162,022 and 334,406

Step by Step Solution

1. Step 1: Write the proportion equation
   162,022 : 334,406 = 334,406 : x
2. Step 2: Convert to fraction form
   162,022/334,406 = 334,406/x
3. Step 3: Cross multiply
   162,022x = 334,406 × 334,406
4. Step 4: Simplify right side
   162,022x = 111,827,372,836
5. Step 5: Solve for x
   x = 111,827,372,836/162,022
6. Step 6: Final answer
   x = 690,198.69