Finding the Third Proportional to 82,091 and 179,608

Step by Step Solution

1. Step 1: Write the proportion equation
   82,091 : 179,608 = 179,608 : x
2. Step 2: Convert to fraction form
   82,091/179,608 = 179,608/x
3. Step 3: Cross multiply
   82,091x = 179,608 × 179,608
4. Step 4: Simplify right side
   82,091x = 32,259,033,664
5. Step 5: Solve for x
   x = 32,259,033,664/82,091
6. Step 6: Final answer
   x = 392,966.75