Finding the Third Proportional to 65,578 and 142,170

Step by Step Solution

1. Step 1: Write the proportion equation
   65,578 : 142,170 = 142,170 : x
2. Step 2: Convert to fraction form
   65,578/142,170 = 142,170/x
3. Step 3: Cross multiply
   65,578x = 142,170 × 142,170
4. Step 4: Simplify right side
   65,578x = 20,212,308,900
5. Step 5: Solve for x
   x = 20,212,308,900/65,578
6. Step 6: Final answer
   x = 308,217.83