Finding the Third Proportional to 83,538 and 180,900

Step by Step Solution

1. Step 1: Write the proportion equation
   83,538 : 180,900 = 180,900 : x
2. Step 2: Convert to fraction form
   83,538/180,900 = 180,900/x
3. Step 3: Cross multiply
   83,538x = 180,900 × 180,900
4. Step 4: Simplify right side
   83,538x = 32,724,810,000
5. Step 5: Solve for x
   x = 32,724,810,000/83,538
6. Step 6: Final answer
   x = 391,735.62