Finding the Third Proportional to 165,892 and 251,910

Step by Step Solution

1. Step 1: Write the proportion equation
   165,892 : 251,910 = 251,910 : x
2. Step 2: Convert to fraction form
   165,892/251,910 = 251,910/x
3. Step 3: Cross multiply
   165,892x = 251,910 × 251,910
4. Step 4: Simplify right side
   165,892x = 63,458,648,100
5. Step 5: Solve for x
   x = 63,458,648,100/165,892
6. Step 6: Final answer
   x = 382,529.89