Finding the Third Proportional to 102,017.50 and 143,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,017.50 : 143,408.50 = 143,408.50 : x
2. Step 2: Convert to fraction form
   102,017.50/143,408.50 = 143,408.50/x
3. Step 3: Cross multiply
   102,017.50x = 143,408.50 × 143,408.50
4. Step 4: Simplify right side
   102,017.50x = 20,565,997,872.25
5. Step 5: Solve for x
   x = 20,565,997,872.25/102,017.50
6. Step 6: Final answer
   x = 201,592.84