Finding the Third Proportional to 89,872 and 140,971

Step by Step Solution

1. Step 1: Write the proportion equation
   89,872 : 140,971 = 140,971 : x
2. Step 2: Convert to fraction form
   89,872/140,971 = 140,971/x
3. Step 3: Cross multiply
   89,872x = 140,971 × 140,971
4. Step 4: Simplify right side
   89,872x = 19,872,822,841
5. Step 5: Solve for x
   x = 19,872,822,841/89,872
6. Step 6: Final answer
   x = 221,123.63