Finding the Third Proportional to 109,176 and 140,436

Step by Step Solution

1. Step 1: Write the proportion equation
   109,176 : 140,436 = 140,436 : x
2. Step 2: Convert to fraction form
   109,176/140,436 = 140,436/x
3. Step 3: Cross multiply
   109,176x = 140,436 × 140,436
4. Step 4: Simplify right side
   109,176x = 19,722,270,096
5. Step 5: Solve for x
   x = 19,722,270,096/109,176
6. Step 6: Final answer
   x = 180,646.57