Finding the Third Proportional to 82,172 and 168,238

Step by Step Solution

1. Step 1: Write the proportion equation
   82,172 : 168,238 = 168,238 : x
2. Step 2: Convert to fraction form
   82,172/168,238 = 168,238/x
3. Step 3: Cross multiply
   82,172x = 168,238 × 168,238
4. Step 4: Simplify right side
   82,172x = 28,304,024,644
5. Step 5: Solve for x
   x = 28,304,024,644/82,172
6. Step 6: Final answer
   x = 344,448.53