Finding the Third Proportional to 100,144 and 140,016

Step by Step Solution

1. Step 1: Write the proportion equation
   100,144 : 140,016 = 140,016 : x
2. Step 2: Convert to fraction form
   100,144/140,016 = 140,016/x
3. Step 3: Cross multiply
   100,144x = 140,016 × 140,016
4. Step 4: Simplify right side
   100,144x = 19,604,480,256
5. Step 5: Solve for x
   x = 19,604,480,256/100,144
6. Step 6: Final answer
   x = 195,762.90