Finding the Third Proportional to 106,290 and 144,414

Step by Step Solution

1. Step 1: Write the proportion equation
   106,290 : 144,414 = 144,414 : x
2. Step 2: Convert to fraction form
   106,290/144,414 = 144,414/x
3. Step 3: Cross multiply
   106,290x = 144,414 × 144,414
4. Step 4: Simplify right side
   106,290x = 20,855,403,396
5. Step 5: Solve for x
   x = 20,855,403,396/106,290
6. Step 6: Final answer
   x = 196,212.28