Finding the Third Proportional to 82,797 and 180,000

Step by Step Solution

1. Step 1: Write the proportion equation
   82,797 : 180,000 = 180,000 : x
2. Step 2: Convert to fraction form
   82,797/180,000 = 180,000/x
3. Step 3: Cross multiply
   82,797x = 180,000 × 180,000
4. Step 4: Simplify right side
   82,797x = 32,400,000,000
5. Step 5: Solve for x
   x = 32,400,000,000/82,797
6. Step 6: Final answer
   x = 391,318.53