Finding the Third Proportional to 82,090 and 179,606

Step by Step Solution

1. Step 1: Write the proportion equation
   82,090 : 179,606 = 179,606 : x
2. Step 2: Convert to fraction form
   82,090/179,606 = 179,606/x
3. Step 3: Cross multiply
   82,090x = 179,606 × 179,606
4. Step 4: Simplify right side
   82,090x = 32,258,315,236
5. Step 5: Solve for x
   x = 32,258,315,236/82,090
6. Step 6: Final answer
   x = 392,962.79