Finding the Third Proportional to 119,922 and 173,253

Step by Step Solution

1. Step 1: Write the proportion equation
   119,922 : 173,253 = 173,253 : x
2. Step 2: Convert to fraction form
   119,922/173,253 = 173,253/x
3. Step 3: Cross multiply
   119,922x = 173,253 × 173,253
4. Step 4: Simplify right side
   119,922x = 30,016,602,009
5. Step 5: Solve for x
   x = 30,016,602,009/119,922
6. Step 6: Final answer
   x = 250,301.05