Finding the Third Proportional to 65,844 and 142,872

Step by Step Solution

1. Step 1: Write the proportion equation
   65,844 : 142,872 = 142,872 : x
2. Step 2: Convert to fraction form
   65,844/142,872 = 142,872/x
3. Step 3: Cross multiply
   65,844x = 142,872 × 142,872
4. Step 4: Simplify right side
   65,844x = 20,412,408,384
5. Step 5: Solve for x
   x = 20,412,408,384/65,844
6. Step 6: Final answer
   x = 310,011.67