Finding the Third Proportional to 105,698 and 140,907

Step by Step Solution

1. Step 1: Write the proportion equation
   105,698 : 140,907 = 140,907 : x
2. Step 2: Convert to fraction form
   105,698/140,907 = 140,907/x
3. Step 3: Cross multiply
   105,698x = 140,907 × 140,907
4. Step 4: Simplify right side
   105,698x = 19,854,782,649
5. Step 5: Solve for x
   x = 19,854,782,649/105,698
6. Step 6: Final answer
   x = 187,844.45