Finding the Third Proportional to 83,540 and 180,930

Step by Step Solution

1. Step 1: Write the proportion equation
   83,540 : 180,930 = 180,930 : x
2. Step 2: Convert to fraction form
   83,540/180,930 = 180,930/x
3. Step 3: Cross multiply
   83,540x = 180,930 × 180,930
4. Step 4: Simplify right side
   83,540x = 32,735,664,900
5. Step 5: Solve for x
   x = 32,735,664,900/83,540
6. Step 6: Final answer
   x = 391,856.18