Finding the Third Proportional to 89,679 and 140,695

Step by Step Solution

1. Step 1: Write the proportion equation
   89,679 : 140,695 = 140,695 : x
2. Step 2: Convert to fraction form
   89,679/140,695 = 140,695/x
3. Step 3: Cross multiply
   89,679x = 140,695 × 140,695
4. Step 4: Simplify right side
   89,679x = 19,795,083,025
5. Step 5: Solve for x
   x = 19,795,083,025/89,679
6. Step 6: Final answer
   x = 220,732.65