Finding the Third Proportional to 105,962.50 and 160,024

Step by Step Solution

1. Step 1: Write the proportion equation
   105,962.50 : 160,024 = 160,024 : x
2. Step 2: Convert to fraction form
   105,962.50/160,024 = 160,024/x
3. Step 3: Cross multiply
   105,962.50x = 160,024 × 160,024
4. Step 4: Simplify right side
   105,962.50x = 25,607,680,576
5. Step 5: Solve for x
   x = 25,607,680,576/105,962.50
6. Step 6: Final answer
   x = 241,667.39