Finding the Third Proportional to 102,153 and 143,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,153 : 143,020.50 = 143,020.50 : x
2. Step 2: Convert to fraction form
   102,153/143,020.50 = 143,020.50/x
3. Step 3: Cross multiply
   102,153x = 143,020.50 × 143,020.50
4. Step 4: Simplify right side
   102,153x = 20,454,863,420.25
5. Step 5: Solve for x
   x = 20,454,863,420.25/102,153
6. Step 6: Final answer
   x = 200,237.52