Finding the Third Proportional to 105,949 and 160,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,949 : 160,003.50 = 160,003.50 : x
2. Step 2: Convert to fraction form
   105,949/160,003.50 = 160,003.50/x
3. Step 3: Cross multiply
   105,949x = 160,003.50 × 160,003.50
4. Step 4: Simplify right side
   105,949x = 25,601,120,012.25
5. Step 5: Solve for x
   x = 25,601,120,012.25/105,949
6. Step 6: Final answer
   x = 241,636.26