Finding the Third Proportional to 103,643.50 and 160,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,643.50 : 160,046.50 = 160,046.50 : x
2. Step 2: Convert to fraction form
   103,643.50/160,046.50 = 160,046.50/x
3. Step 3: Cross multiply
   103,643.50x = 160,046.50 × 160,046.50
4. Step 4: Simplify right side
   103,643.50x = 25,614,882,162.25
5. Step 5: Solve for x
   x = 25,614,882,162.25/103,643.50
6. Step 6: Final answer
   x = 247,144.13