Finding the Third Proportional to 82,156 and 168,197

Step by Step Solution

1. Step 1: Write the proportion equation
   82,156 : 168,197 = 168,197 : x
2. Step 2: Convert to fraction form
   82,156/168,197 = 168,197/x
3. Step 3: Cross multiply
   82,156x = 168,197 × 168,197
4. Step 4: Simplify right side
   82,156x = 28,290,230,809
5. Step 5: Solve for x
   x = 28,290,230,809/82,156
6. Step 6: Final answer
   x = 344,347.71