Finding the Third Proportional to 82,158 and 168,208

Step by Step Solution

1. Step 1: Write the proportion equation
   82,158 : 168,208 = 168,208 : x
2. Step 2: Convert to fraction form
   82,158/168,208 = 168,208/x
3. Step 3: Cross multiply
   82,158x = 168,208 × 168,208
4. Step 4: Simplify right side
   82,158x = 28,293,931,264
5. Step 5: Solve for x
   x = 28,293,931,264/82,158
6. Step 6: Final answer
   x = 344,384.37