Finding the Third Proportional to 82,800 and 180,002

Step by Step Solution

1. Step 1: Write the proportion equation
   82,800 : 180,002 = 180,002 : x
2. Step 2: Convert to fraction form
   82,800/180,002 = 180,002/x
3. Step 3: Cross multiply
   82,800x = 180,002 × 180,002
4. Step 4: Simplify right side
   82,800x = 32,400,720,004
5. Step 5: Solve for x
   x = 32,400,720,004/82,800
6. Step 6: Final answer
   x = 391,313.04