Finding the Third Proportional to 101,216 and 144,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,216 : 144,183.50 = 144,183.50 : x
2. Step 2: Convert to fraction form
   101,216/144,183.50 = 144,183.50/x
3. Step 3: Cross multiply
   101,216x = 144,183.50 × 144,183.50
4. Step 4: Simplify right side
   101,216x = 20,788,881,672.25
5. Step 5: Solve for x
   x = 20,788,881,672.25/101,216
6. Step 6: Final answer
   x = 205,391.26