Finding the Third Proportional to 89,824 and 140,907

Step by Step Solution

1. Step 1: Write the proportion equation
   89,824 : 140,907 = 140,907 : x
2. Step 2: Convert to fraction form
   89,824/140,907 = 140,907/x
3. Step 3: Cross multiply
   89,824x = 140,907 × 140,907
4. Step 4: Simplify right side
   89,824x = 19,854,782,649
5. Step 5: Solve for x
   x = 19,854,782,649/89,824
6. Step 6: Final answer
   x = 221,040.95