Finding the Third Proportional to 105,732 and 144,014

Step by Step Solution

1. Step 1: Write the proportion equation
   105,732 : 144,014 = 144,014 : x
2. Step 2: Convert to fraction form
   105,732/144,014 = 144,014/x
3. Step 3: Cross multiply
   105,732x = 144,014 × 144,014
4. Step 4: Simplify right side
   105,732x = 20,740,032,196
5. Step 5: Solve for x
   x = 20,740,032,196/105,732
6. Step 6: Final answer
   x = 196,156.62