Finding the Third Proportional to 82,582 and 180,916

Step by Step Solution

1. Step 1: Write the proportion equation
   82,582 : 180,916 = 180,916 : x
2. Step 2: Convert to fraction form
   82,582/180,916 = 180,916/x
3. Step 3: Cross multiply
   82,582x = 180,916 × 180,916
4. Step 4: Simplify right side
   82,582x = 32,730,599,056
5. Step 5: Solve for x
   x = 32,730,599,056/82,582
6. Step 6: Final answer
   x = 396,340.60