Finding the Third Proportional to 106,144 and 144,244

Step by Step Solution

1. Step 1: Write the proportion equation
   106,144 : 144,244 = 144,244 : x
2. Step 2: Convert to fraction form
   106,144/144,244 = 144,244/x
3. Step 3: Cross multiply
   106,144x = 144,244 × 144,244
4. Step 4: Simplify right side
   106,144x = 20,806,331,536
5. Step 5: Solve for x
   x = 20,806,331,536/106,144
6. Step 6: Final answer
   x = 196,019.86