Finding the Third Proportional to 82,584 and 180,920

Step by Step Solution

1. Step 1: Write the proportion equation
   82,584 : 180,920 = 180,920 : x
2. Step 2: Convert to fraction form
   82,584/180,920 = 180,920/x
3. Step 3: Cross multiply
   82,584x = 180,920 × 180,920
4. Step 4: Simplify right side
   82,584x = 32,732,046,400
5. Step 5: Solve for x
   x = 32,732,046,400/82,584
6. Step 6: Final answer
   x = 396,348.52