Finding the Third Proportional to 105,180 and 141,722

Step by Step Solution

1. Step 1: Write the proportion equation
   105,180 : 141,722 = 141,722 : x
2. Step 2: Convert to fraction form
   105,180/141,722 = 141,722/x
3. Step 3: Cross multiply
   105,180x = 141,722 × 141,722
4. Step 4: Simplify right side
   105,180x = 20,085,125,284
5. Step 5: Solve for x
   x = 20,085,125,284/105,180
6. Step 6: Final answer
   x = 190,959.55