Finding the Third Proportional to 103,741 and 160,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,741 : 160,217.50 = 160,217.50 : x
2. Step 2: Convert to fraction form
   103,741/160,217.50 = 160,217.50/x
3. Step 3: Cross multiply
   103,741x = 160,217.50 × 160,217.50
4. Step 4: Simplify right side
   103,741x = 25,669,647,306.25
5. Step 5: Solve for x
   x = 25,669,647,306.25/103,741
6. Step 6: Final answer
   x = 247,439.75