Finding the Third Proportional to 105,512 and 140,944

Step by Step Solution

1. Step 1: Write the proportion equation
   105,512 : 140,944 = 140,944 : x
2. Step 2: Convert to fraction form
   105,512/140,944 = 140,944/x
3. Step 3: Cross multiply
   105,512x = 140,944 × 140,944
4. Step 4: Simplify right side
   105,512x = 19,865,211,136
5. Step 5: Solve for x
   x = 19,865,211,136/105,512
6. Step 6: Final answer
   x = 188,274.43