Finding the Third Proportional to 102,018 and 143,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,018 : 143,409.50 = 143,409.50 : x
2. Step 2: Convert to fraction form
   102,018/143,409.50 = 143,409.50/x
3. Step 3: Cross multiply
   102,018x = 143,409.50 × 143,409.50
4. Step 4: Simplify right side
   102,018x = 20,566,284,690.25
5. Step 5: Solve for x
   x = 20,566,284,690.25/102,018
6. Step 6: Final answer
   x = 201,594.67