Finding the Third Proportional to 105,953.50 and 160,010.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,953.50 : 160,010.50 = 160,010.50 : x
2. Step 2: Convert to fraction form
   105,953.50/160,010.50 = 160,010.50/x
3. Step 3: Cross multiply
   105,953.50x = 160,010.50 × 160,010.50
4. Step 4: Simplify right side
   105,953.50x = 25,603,360,110.25
5. Step 5: Solve for x
   x = 25,603,360,110.25/105,953.50
6. Step 6: Final answer
   x = 241,647.14