Finding the Third Proportional to 209,175 and 320,044.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,175 : 320,044.50 = 320,044.50 : x
2. Step 2: Convert to fraction form
   209,175/320,044.50 = 320,044.50/x
3. Step 3: Cross multiply
   209,175x = 320,044.50 × 320,044.50
4. Step 4: Simplify right side
   209,175x = 102,428,481,980.25
5. Step 5: Solve for x
   x = 102,428,481,980.25/209,175
6. Step 6: Final answer
   x = 489,678.41