Finding the Third Proportional to 161,642 and 333,238

Step by Step Solution

1. Step 1: Write the proportion equation
   161,642 : 333,238 = 333,238 : x
2. Step 2: Convert to fraction form
   161,642/333,238 = 333,238/x
3. Step 3: Cross multiply
   161,642x = 333,238 × 333,238
4. Step 4: Simplify right side
   161,642x = 111,047,564,644
5. Step 5: Solve for x
   x = 111,047,564,644/161,642
6. Step 6: Final answer
   x = 686,996.97