Finding the Third Proportional to 142,533 and 309,874

Step by Step Solution

1. Step 1: Write the proportion equation
   142,533 : 309,874 = 309,874 : x
2. Step 2: Convert to fraction form
   142,533/309,874 = 309,874/x
3. Step 3: Cross multiply
   142,533x = 309,874 × 309,874
4. Step 4: Simplify right side
   142,533x = 96,021,895,876
5. Step 5: Solve for x
   x = 96,021,895,876/142,533
6. Step 6: Final answer
   x = 673,681.86