Finding the Third Proportional to 209,514 and 324,349.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,514 : 324,349.50 = 324,349.50 : x
2. Step 2: Convert to fraction form
   209,514/324,349.50 = 324,349.50/x
3. Step 3: Cross multiply
   209,514x = 324,349.50 × 324,349.50
4. Step 4: Simplify right side
   209,514x = 105,202,598,150.25
5. Step 5: Solve for x
   x = 105,202,598,150.25/209,514
6. Step 6: Final answer
   x = 502,126.82