Finding the Third Proportional to 96,867 and 145,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,867 : 145,399.50 = 145,399.50 : x
2. Step 2: Convert to fraction form
   96,867/145,399.50 = 145,399.50/x
3. Step 3: Cross multiply
   96,867x = 145,399.50 × 145,399.50
4. Step 4: Simplify right side
   96,867x = 21,141,014,600.25
5. Step 5: Solve for x
   x = 21,141,014,600.25/96,867
6. Step 6: Final answer
   x = 218,247.85