Finding the Third Proportional to 82,767 and 180,570

Step by Step Solution

1. Step 1: Write the proportion equation
   82,767 : 180,570 = 180,570 : x
2. Step 2: Convert to fraction form
   82,767/180,570 = 180,570/x
3. Step 3: Cross multiply
   82,767x = 180,570 × 180,570
4. Step 4: Simplify right side
   82,767x = 32,605,524,900
5. Step 5: Solve for x
   x = 32,605,524,900/82,767
6. Step 6: Final answer
   x = 393,943.54