Finding the Third Proportional to 105,019 and 141,489

Step by Step Solution

1. Step 1: Write the proportion equation
   105,019 : 141,489 = 141,489 : x
2. Step 2: Convert to fraction form
   105,019/141,489 = 141,489/x
3. Step 3: Cross multiply
   105,019x = 141,489 × 141,489
4. Step 4: Simplify right side
   105,019x = 20,019,137,121
5. Step 5: Solve for x
   x = 20,019,137,121/105,019
6. Step 6: Final answer
   x = 190,623.95