Finding the Third Proportional to 89,096 and 140,980

Step by Step Solution

1. Step 1: Write the proportion equation
   89,096 : 140,980 = 140,980 : x
2. Step 2: Convert to fraction form
   89,096/140,980 = 140,980/x
3. Step 3: Cross multiply
   89,096x = 140,980 × 140,980
4. Step 4: Simplify right side
   89,096x = 19,875,360,400
5. Step 5: Solve for x
   x = 19,875,360,400/89,096
6. Step 6: Final answer
   x = 223,078.03