Finding the Third Proportional to 105,116 and 141,627

Step by Step Solution

1. Step 1: Write the proportion equation
   105,116 : 141,627 = 141,627 : x
2. Step 2: Convert to fraction form
   105,116/141,627 = 141,627/x
3. Step 3: Cross multiply
   105,116x = 141,627 × 141,627
4. Step 4: Simplify right side
   105,116x = 20,058,207,129
5. Step 5: Solve for x
   x = 20,058,207,129/105,116
6. Step 6: Final answer
   x = 190,819.73