Finding the Third Proportional to 89,852 and 140,530

Step by Step Solution

1. Step 1: Write the proportion equation
   89,852 : 140,530 = 140,530 : x
2. Step 2: Convert to fraction form
   89,852/140,530 = 140,530/x
3. Step 3: Cross multiply
   89,852x = 140,530 × 140,530
4. Step 4: Simplify right side
   89,852x = 19,748,680,900
5. Step 5: Solve for x
   x = 19,748,680,900/89,852
6. Step 6: Final answer
   x = 219,791.22