Finding the Third Proportional to 209,786 and 322,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,786 : 322,642.50 = 322,642.50 : x
2. Step 2: Convert to fraction form
   209,786/322,642.50 = 322,642.50/x
3. Step 3: Cross multiply
   209,786x = 322,642.50 × 322,642.50
4. Step 4: Simplify right side
   209,786x = 104,098,182,806.25
5. Step 5: Solve for x
   x = 104,098,182,806.25/209,786
6. Step 6: Final answer
   x = 496,211.30