Finding the Third Proportional to 120,210 and 174,105

Step by Step Solution

1. Step 1: Write the proportion equation
   120,210 : 174,105 = 174,105 : x
2. Step 2: Convert to fraction form
   120,210/174,105 = 174,105/x
3. Step 3: Cross multiply
   120,210x = 174,105 × 174,105
4. Step 4: Simplify right side
   120,210x = 30,312,551,025
5. Step 5: Solve for x
   x = 30,312,551,025/120,210
6. Step 6: Final answer
   x = 252,163.31