Finding the Third Proportional to 105,266 and 141,843

Step by Step Solution

1. Step 1: Write the proportion equation
   105,266 : 141,843 = 141,843 : x
2. Step 2: Convert to fraction form
   105,266/141,843 = 141,843/x
3. Step 3: Cross multiply
   105,266x = 141,843 × 141,843
4. Step 4: Simplify right side
   105,266x = 20,119,436,649
5. Step 5: Solve for x
   x = 20,119,436,649/105,266
6. Step 6: Final answer
   x = 191,129.49