Finding the Third Proportional to 82,704 and 179,409

Step by Step Solution

1. Step 1: Write the proportion equation
   82,704 : 179,409 = 179,409 : x
2. Step 2: Convert to fraction form
   82,704/179,409 = 179,409/x
3. Step 3: Cross multiply
   82,704x = 179,409 × 179,409
4. Step 4: Simplify right side
   82,704x = 32,187,589,281
5. Step 5: Solve for x
   x = 32,187,589,281/82,704
6. Step 6: Final answer
   x = 389,190.24