Finding the Third Proportional to 72,048 and 105,734

Step by Step Solution

1. Step 1: Write the proportion equation
   72,048 : 105,734 = 105,734 : x
2. Step 2: Convert to fraction form
   72,048/105,734 = 105,734/x
3. Step 3: Cross multiply
   72,048x = 105,734 × 105,734
4. Step 4: Simplify right side
   72,048x = 11,179,678,756
5. Step 5: Solve for x
   x = 11,179,678,756/72,048
6. Step 6: Final answer
   x = 155,169.87