Finding the Third Proportional to 89,840 and 140,916

Step by Step Solution

1. Step 1: Write the proportion equation
   89,840 : 140,916 = 140,916 : x
2. Step 2: Convert to fraction form
   89,840/140,916 = 140,916/x
3. Step 3: Cross multiply
   89,840x = 140,916 × 140,916
4. Step 4: Simplify right side
   89,840x = 19,857,319,056
5. Step 5: Solve for x
   x = 19,857,319,056/89,840
6. Step 6: Final answer
   x = 221,029.82