Finding the Third Proportional to 82,059 and 179,298

Step by Step Solution

1. Step 1: Write the proportion equation
   82,059 : 179,298 = 179,298 : x
2. Step 2: Convert to fraction form
   82,059/179,298 = 179,298/x
3. Step 3: Cross multiply
   82,059x = 179,298 × 179,298
4. Step 4: Simplify right side
   82,059x = 32,147,772,804
5. Step 5: Solve for x
   x = 32,147,772,804/82,059
6. Step 6: Final answer
   x = 391,764.13