Finding the Third Proportional to 82,154 and 168,194

Step by Step Solution

1. Step 1: Write the proportion equation
   82,154 : 168,194 = 168,194 : x
2. Step 2: Convert to fraction form
   82,154/168,194 = 168,194/x
3. Step 3: Cross multiply
   82,154x = 168,194 × 168,194
4. Step 4: Simplify right side
   82,154x = 28,289,221,636
5. Step 5: Solve for x
   x = 28,289,221,636/82,154
6. Step 6: Final answer
   x = 344,343.81