Finding the Third Proportional to 102,016 and 143,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,016 : 143,406.50 = 143,406.50 : x
2. Step 2: Convert to fraction form
   102,016/143,406.50 = 143,406.50/x
3. Step 3: Cross multiply
   102,016x = 143,406.50 × 143,406.50
4. Step 4: Simplify right side
   102,016x = 20,565,424,242.25
5. Step 5: Solve for x
   x = 20,565,424,242.25/102,016
6. Step 6: Final answer
   x = 201,590.18