Finding the Third Proportional to 105,950 and 160,005

Step by Step Solution

1. Step 1: Write the proportion equation
   105,950 : 160,005 = 160,005 : x
2. Step 2: Convert to fraction form
   105,950/160,005 = 160,005/x
3. Step 3: Cross multiply
   105,950x = 160,005 × 160,005
4. Step 4: Simplify right side
   105,950x = 25,601,600,025
5. Step 5: Solve for x
   x = 25,601,600,025/105,950
6. Step 6: Final answer
   x = 241,638.51