Finding the Third Proportional to 209,525 and 324,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,525 : 324,365.50 = 324,365.50 : x
2. Step 2: Convert to fraction form
   209,525/324,365.50 = 324,365.50/x
3. Step 3: Cross multiply
   209,525x = 324,365.50 × 324,365.50
4. Step 4: Simplify right side
   209,525x = 105,212,977,590.25
5. Step 5: Solve for x
   x = 105,212,977,590.25/209,525
6. Step 6: Final answer
   x = 502,149.99