Finding the Third Proportional to 103,419 and 142,414

Step by Step Solution

1. Step 1: Write the proportion equation
   103,419 : 142,414 = 142,414 : x
2. Step 2: Convert to fraction form
   103,419/142,414 = 142,414/x
3. Step 3: Cross multiply
   103,419x = 142,414 × 142,414
4. Step 4: Simplify right side
   103,419x = 20,281,747,396
5. Step 5: Solve for x
   x = 20,281,747,396/103,419
6. Step 6: Final answer
   x = 196,112.39