Finding the Third Proportional to 105,723 and 155,664

Step by Step Solution

1. Step 1: Write the proportion equation
   105,723 : 155,664 = 155,664 : x
2. Step 2: Convert to fraction form
   105,723/155,664 = 155,664/x
3. Step 3: Cross multiply
   105,723x = 155,664 × 155,664
4. Step 4: Simplify right side
   105,723x = 24,231,280,896
5. Step 5: Solve for x
   x = 24,231,280,896/105,723
6. Step 6: Final answer
   x = 229,195.93