Finding the Third Proportional to 82,906 and 168,059

Step by Step Solution

1. Step 1: Write the proportion equation
   82,906 : 168,059 = 168,059 : x
2. Step 2: Convert to fraction form
   82,906/168,059 = 168,059/x
3. Step 3: Cross multiply
   82,906x = 168,059 × 168,059
4. Step 4: Simplify right side
   82,906x = 28,243,827,481
5. Step 5: Solve for x
   x = 28,243,827,481/82,906
6. Step 6: Final answer
   x = 340,672.90