Finding the Third Proportional to 120,204 and 174,108

Step by Step Solution

1. Step 1: Write the proportion equation
   120,204 : 174,108 = 174,108 : x
2. Step 2: Convert to fraction form
   120,204/174,108 = 174,108/x
3. Step 3: Cross multiply
   120,204x = 174,108 × 174,108
4. Step 4: Simplify right side
   120,204x = 30,313,595,664
5. Step 5: Solve for x
   x = 30,313,595,664/120,204
6. Step 6: Final answer
   x = 252,184.58