Finding the Third Proportional to 105,764 and 144,024

Step by Step Solution

1. Step 1: Write the proportion equation
   105,764 : 144,024 = 144,024 : x
2. Step 2: Convert to fraction form
   105,764/144,024 = 144,024/x
3. Step 3: Cross multiply
   105,764x = 144,024 × 144,024
4. Step 4: Simplify right side
   105,764x = 20,742,912,576
5. Step 5: Solve for x
   x = 20,742,912,576/105,764
6. Step 6: Final answer
   x = 196,124.51