Finding the Third Proportional to 105,746 and 140,977

Step by Step Solution

1. Step 1: Write the proportion equation
   105,746 : 140,977 = 140,977 : x
2. Step 2: Convert to fraction form
   105,746/140,977 = 140,977/x
3. Step 3: Cross multiply
   105,746x = 140,977 × 140,977
4. Step 4: Simplify right side
   105,746x = 19,874,514,529
5. Step 5: Solve for x
   x = 19,874,514,529/105,746
6. Step 6: Final answer
   x = 187,945.78