Finding the Third Proportional to 101,494 and 144,256

Step by Step Solution

1. Step 1: Write the proportion equation
   101,494 : 144,256 = 144,256 : x
2. Step 2: Convert to fraction form
   101,494/144,256 = 144,256/x
3. Step 3: Cross multiply
   101,494x = 144,256 × 144,256
4. Step 4: Simplify right side
   101,494x = 20,809,793,536
5. Step 5: Solve for x
   x = 20,809,793,536/101,494
6. Step 6: Final answer
   x = 205,034.72