Finding the Third Proportional to 103,815 and 160,324.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,815 : 160,324.50 = 160,324.50 : x
2. Step 2: Convert to fraction form
   103,815/160,324.50 = 160,324.50/x
3. Step 3: Cross multiply
   103,815x = 160,324.50 × 160,324.50
4. Step 4: Simplify right side
   103,815x = 25,703,945,300.25
5. Step 5: Solve for x
   x = 25,703,945,300.25/103,815
6. Step 6: Final answer
   x = 247,593.75