Finding the Third Proportional to 78,910 and 169,849

Step by Step Solution

1. Step 1: Write the proportion equation
   78,910 : 169,849 = 169,849 : x
2. Step 2: Convert to fraction form
   78,910/169,849 = 169,849/x
3. Step 3: Cross multiply
   78,910x = 169,849 × 169,849
4. Step 4: Simplify right side
   78,910x = 28,848,682,801
5. Step 5: Solve for x
   x = 28,848,682,801/78,910
6. Step 6: Final answer
   x = 365,589.69