Finding the Third Proportional to 82,350 and 179,759

Step by Step Solution

1. Step 1: Write the proportion equation
   82,350 : 179,759 = 179,759 : x
2. Step 2: Convert to fraction form
   82,350/179,759 = 179,759/x
3. Step 3: Cross multiply
   82,350x = 179,759 × 179,759
4. Step 4: Simplify right side
   82,350x = 32,313,298,081
5. Step 5: Solve for x
   x = 32,313,298,081/82,350
6. Step 6: Final answer
   x = 392,389.78