Finding the Third Proportional to 71,680 and 100,256

Step by Step Solution

1. Step 1: Write the proportion equation
   71,680 : 100,256 = 100,256 : x
2. Step 2: Convert to fraction form
   71,680/100,256 = 100,256/x
3. Step 3: Cross multiply
   71,680x = 100,256 × 100,256
4. Step 4: Simplify right side
   71,680x = 10,051,265,536
5. Step 5: Solve for x
   x = 10,051,265,536/71,680
6. Step 6: Final answer
   x = 140,224.13