Finding the Third Proportional to 208,434 and 322,947

Step by Step Solution

1. Step 1: Write the proportion equation
   208,434 : 322,947 = 322,947 : x
2. Step 2: Convert to fraction form
   208,434/322,947 = 322,947/x
3. Step 3: Cross multiply
   208,434x = 322,947 × 322,947
4. Step 4: Simplify right side
   208,434x = 104,294,764,809
5. Step 5: Solve for x
   x = 104,294,764,809/208,434
6. Step 6: Final answer
   x = 500,373.09