Finding the Third Proportional to 105,216 and 141,759

Step by Step Solution

1. Step 1: Write the proportion equation
   105,216 : 141,759 = 141,759 : x
2. Step 2: Convert to fraction form
   105,216/141,759 = 141,759/x
3. Step 3: Cross multiply
   105,216x = 141,759 × 141,759
4. Step 4: Simplify right side
   105,216x = 20,095,614,081
5. Step 5: Solve for x
   x = 20,095,614,081/105,216
6. Step 6: Final answer
   x = 190,993.90