Finding the Third Proportional to 209,091 and 324,220.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,091 : 324,220.50 = 324,220.50 : x
2. Step 2: Convert to fraction form
   209,091/324,220.50 = 324,220.50/x
3. Step 3: Cross multiply
   209,091x = 324,220.50 × 324,220.50
4. Step 4: Simplify right side
   209,091x = 105,118,932,620.25
5. Step 5: Solve for x
   x = 105,118,932,620.25/209,091
6. Step 6: Final answer
   x = 502,742.50