Finding the Third Proportional to 82,161 and 168,216

Step by Step Solution

1. Step 1: Write the proportion equation
   82,161 : 168,216 = 168,216 : x
2. Step 2: Convert to fraction form
   82,161/168,216 = 168,216/x
3. Step 3: Cross multiply
   82,161x = 168,216 × 168,216
4. Step 4: Simplify right side
   82,161x = 28,296,622,656
5. Step 5: Solve for x
   x = 28,296,622,656/82,161
6. Step 6: Final answer
   x = 344,404.56