Finding the Third Proportional to 65,058 and 142,016

Step by Step Solution

1. Step 1: Write the proportion equation
   65,058 : 142,016 = 142,016 : x
2. Step 2: Convert to fraction form
   65,058/142,016 = 142,016/x
3. Step 3: Cross multiply
   65,058x = 142,016 × 142,016
4. Step 4: Simplify right side
   65,058x = 20,168,544,256
5. Step 5: Solve for x
   x = 20,168,544,256/65,058
6. Step 6: Final answer
   x = 310,008.67