Finding the Third Proportional to 120,150 and 173,071

Step by Step Solution

1. Step 1: Write the proportion equation
   120,150 : 173,071 = 173,071 : x
2. Step 2: Convert to fraction form
   120,150/173,071 = 173,071/x
3. Step 3: Cross multiply
   120,150x = 173,071 × 173,071
4. Step 4: Simplify right side
   120,150x = 29,953,571,041
5. Step 5: Solve for x
   x = 29,953,571,041/120,150
6. Step 6: Final answer
   x = 249,301.47