Finding the Third Proportional to 65,588 and 142,858

Step by Step Solution

1. Step 1: Write the proportion equation
   65,588 : 142,858 = 142,858 : x
2. Step 2: Convert to fraction form
   65,588/142,858 = 142,858/x
3. Step 3: Cross multiply
   65,588x = 142,858 × 142,858
4. Step 4: Simplify right side
   65,588x = 20,408,408,164
5. Step 5: Solve for x
   x = 20,408,408,164/65,588
6. Step 6: Final answer
   x = 311,160.70