Finding the Third Proportional to 82,904 and 180,520

Step by Step Solution

1. Step 1: Write the proportion equation
   82,904 : 180,520 = 180,520 : x
2. Step 2: Convert to fraction form
   82,904/180,520 = 180,520/x
3. Step 3: Cross multiply
   82,904x = 180,520 × 180,520
4. Step 4: Simplify right side
   82,904x = 32,587,470,400
5. Step 5: Solve for x
   x = 32,587,470,400/82,904
6. Step 6: Final answer
   x = 393,074.77