Finding the Third Proportional to 82,790 and 179,404

Step by Step Solution

1. Step 1: Write the proportion equation
   82,790 : 179,404 = 179,404 : x
2. Step 2: Convert to fraction form
   82,790/179,404 = 179,404/x
3. Step 3: Cross multiply
   82,790x = 179,404 × 179,404
4. Step 4: Simplify right side
   82,790x = 32,185,795,216
5. Step 5: Solve for x
   x = 32,185,795,216/82,790
6. Step 6: Final answer
   x = 388,764.29