Finding the Third Proportional to 140,435 and 300,634

Step by Step Solution

1. Step 1: Write the proportion equation
   140,435 : 300,634 = 300,634 : x
2. Step 2: Convert to fraction form
   140,435/300,634 = 300,634/x
3. Step 3: Cross multiply
   140,435x = 300,634 × 300,634
4. Step 4: Simplify right side
   140,435x = 90,380,801,956
5. Step 5: Solve for x
   x = 90,380,801,956/140,435
6. Step 6: Final answer
   x = 643,577.47