Finding the Third Proportional to 65,170 and 142,795

Step by Step Solution

1. Step 1: Write the proportion equation
   65,170 : 142,795 = 142,795 : x
2. Step 2: Convert to fraction form
   65,170/142,795 = 142,795/x
3. Step 3: Cross multiply
   65,170x = 142,795 × 142,795
4. Step 4: Simplify right side
   65,170x = 20,390,412,025
5. Step 5: Solve for x
   x = 20,390,412,025/65,170
6. Step 6: Final answer
   x = 312,880.34