Finding the Third Proportional to 82,188 and 180,540

Step by Step Solution

1. Step 1: Write the proportion equation
   82,188 : 180,540 = 180,540 : x
2. Step 2: Convert to fraction form
   82,188/180,540 = 180,540/x
3. Step 3: Cross multiply
   82,188x = 180,540 × 180,540
4. Step 4: Simplify right side
   82,188x = 32,594,691,600
5. Step 5: Solve for x
   x = 32,594,691,600/82,188
6. Step 6: Final answer
   x = 396,586.99