Finding the Third Proportional to 65,590 and 142,860

Step by Step Solution

1. Step 1: Write the proportion equation
   65,590 : 142,860 = 142,860 : x
2. Step 2: Convert to fraction form
   65,590/142,860 = 142,860/x
3. Step 3: Cross multiply
   65,590x = 142,860 × 142,860
4. Step 4: Simplify right side
   65,590x = 20,408,979,600
5. Step 5: Solve for x
   x = 20,408,979,600/65,590
6. Step 6: Final answer
   x = 311,159.93