Finding the Third Proportional to 82,002 and 120,087

Step by Step Solution

1. Step 1: Write the proportion equation
   82,002 : 120,087 = 120,087 : x
2. Step 2: Convert to fraction form
   82,002/120,087 = 120,087/x
3. Step 3: Cross multiply
   82,002x = 120,087 × 120,087
4. Step 4: Simplify right side
   82,002x = 14,420,887,569
5. Step 5: Solve for x
   x = 14,420,887,569/82,002
6. Step 6: Final answer
   x = 175,860.19