Finding the Third Proportional to 143,992 and 202,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   143,992 : 202,683.50 = 202,683.50 : x
2. Step 2: Convert to fraction form
   143,992/202,683.50 = 202,683.50/x
3. Step 3: Cross multiply
   143,992x = 202,683.50 × 202,683.50
4. Step 4: Simplify right side
   143,992x = 41,080,601,172.25
5. Step 5: Solve for x
   x = 41,080,601,172.25/143,992
6. Step 6: Final answer
   x = 285,297.80