Finding the Third Proportional to 82,805 and 179,614

Step by Step Solution

1. Step 1: Write the proportion equation
   82,805 : 179,614 = 179,614 : x
2. Step 2: Convert to fraction form
   82,805/179,614 = 179,614/x
3. Step 3: Cross multiply
   82,805x = 179,614 × 179,614
4. Step 4: Simplify right side
   82,805x = 32,261,188,996
5. Step 5: Solve for x
   x = 32,261,188,996/82,805
6. Step 6: Final answer
   x = 389,604.36