Finding the Third Proportional to 209,196 and 320,004

Step by Step Solution

1. Step 1: Write the proportion equation
   209,196 : 320,004 = 320,004 : x
2. Step 2: Convert to fraction form
   209,196/320,004 = 320,004/x
3. Step 3: Cross multiply
   209,196x = 320,004 × 320,004
4. Step 4: Simplify right side
   209,196x = 102,402,560,016
5. Step 5: Solve for x
   x = 102,402,560,016/209,196
6. Step 6: Final answer
   x = 489,505.34