Finding the Third Proportional to 82,208 and 179,634

Step by Step Solution

1. Step 1: Write the proportion equation
   82,208 : 179,634 = 179,634 : x
2. Step 2: Convert to fraction form
   82,208/179,634 = 179,634/x
3. Step 3: Cross multiply
   82,208x = 179,634 × 179,634
4. Step 4: Simplify right side
   82,208x = 32,268,373,956
5. Step 5: Solve for x
   x = 32,268,373,956/82,208
6. Step 6: Final answer
   x = 392,521.09