Finding the Third Proportional to 105,963 and 160,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,963 : 160,024.50 = 160,024.50 : x
2. Step 2: Convert to fraction form
   105,963/160,024.50 = 160,024.50/x
3. Step 3: Cross multiply
   105,963x = 160,024.50 × 160,024.50
4. Step 4: Simplify right side
   105,963x = 25,607,840,600.25
5. Step 5: Solve for x
   x = 25,607,840,600.25/105,963
6. Step 6: Final answer
   x = 241,667.76