Finding the Third Proportional to 82,818 and 180,360

Step by Step Solution

1. Step 1: Write the proportion equation
   82,818 : 180,360 = 180,360 : x
2. Step 2: Convert to fraction form
   82,818/180,360 = 180,360/x
3. Step 3: Cross multiply
   82,818x = 180,360 × 180,360
4. Step 4: Simplify right side
   82,818x = 32,529,729,600
5. Step 5: Solve for x
   x = 32,529,729,600/82,818
6. Step 6: Final answer
   x = 392,785.74