Finding the Third Proportional to 102,649 and 143,494

Step by Step Solution

1. Step 1: Write the proportion equation
   102,649 : 143,494 = 143,494 : x
2. Step 2: Convert to fraction form
   102,649/143,494 = 143,494/x
3. Step 3: Cross multiply
   102,649x = 143,494 × 143,494
4. Step 4: Simplify right side
   102,649x = 20,590,528,036
5. Step 5: Solve for x
   x = 20,590,528,036/102,649
6. Step 6: Final answer
   x = 200,591.61