Finding the Third Proportional to 142,947 and 311,004

Step by Step Solution

1. Step 1: Write the proportion equation
   142,947 : 311,004 = 311,004 : x
2. Step 2: Convert to fraction form
   142,947/311,004 = 311,004/x
3. Step 3: Cross multiply
   142,947x = 311,004 × 311,004
4. Step 4: Simplify right side
   142,947x = 96,723,488,016
5. Step 5: Solve for x
   x = 96,723,488,016/142,947
6. Step 6: Final answer
   x = 676,638.81