Finding the Third Proportional to 209,788 and 322,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,788 : 322,645.50 = 322,645.50 : x
2. Step 2: Convert to fraction form
   209,788/322,645.50 = 322,645.50/x
3. Step 3: Cross multiply
   209,788x = 322,645.50 × 322,645.50
4. Step 4: Simplify right side
   209,788x = 104,100,118,670.25
5. Step 5: Solve for x
   x = 104,100,118,670.25/209,788
6. Step 6: Final answer
   x = 496,215.79