Finding the Third Proportional to 63,734 and 101,256

Step by Step Solution

1. Step 1: Write the proportion equation
   63,734 : 101,256 = 101,256 : x
2. Step 2: Convert to fraction form
   63,734/101,256 = 101,256/x
3. Step 3: Cross multiply
   63,734x = 101,256 × 101,256
4. Step 4: Simplify right side
   63,734x = 10,252,777,536
5. Step 5: Solve for x
   x = 10,252,777,536/63,734
6. Step 6: Final answer
   x = 160,868.26