Finding the Third Proportional to 82,167 and 168,228

Step by Step Solution

1. Step 1: Write the proportion equation
   82,167 : 168,228 = 168,228 : x
2. Step 2: Convert to fraction form
   82,167/168,228 = 168,228/x
3. Step 3: Cross multiply
   82,167x = 168,228 × 168,228
4. Step 4: Simplify right side
   82,167x = 28,300,659,984
5. Step 5: Solve for x
   x = 28,300,659,984/82,167
6. Step 6: Final answer
   x = 344,428.54