Finding the Third Proportional to 143,510 and 200,634

Step by Step Solution

1. Step 1: Write the proportion equation
   143,510 : 200,634 = 200,634 : x
2. Step 2: Convert to fraction form
   143,510/200,634 = 200,634/x
3. Step 3: Cross multiply
   143,510x = 200,634 × 200,634
4. Step 4: Simplify right side
   143,510x = 40,254,001,956
5. Step 5: Solve for x
   x = 40,254,001,956/143,510
6. Step 6: Final answer
   x = 280,496.15