Finding the Third Proportional to 209,156 and 320,010

Step by Step Solution

1. Step 1: Write the proportion equation
   209,156 : 320,010 = 320,010 : x
2. Step 2: Convert to fraction form
   209,156/320,010 = 320,010/x
3. Step 3: Cross multiply
   209,156x = 320,010 × 320,010
4. Step 4: Simplify right side
   209,156x = 102,406,400,100
5. Step 5: Solve for x
   x = 102,406,400,100/209,156
6. Step 6: Final answer
   x = 489,617.32