Finding the Third Proportional to 102,019.50 and 143,411.75

Step by Step Solution

1. Step 1: Write the proportion equation
   102,019.50 : 143,411.75 = 143,411.75 : x
2. Step 2: Convert to fraction form
   102,019.50/143,411.75 = 143,411.75/x
3. Step 3: Cross multiply
   102,019.50x = 143,411.75 × 143,411.75
4. Step 4: Simplify right side
   102,019.50x = 20,566,930,038.06
5. Step 5: Solve for x
   x = 20,566,930,038.06/102,019.50
6. Step 6: Final answer
   x = 201,598.03