Finding the Third Proportional to 221,205 and 333,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   221,205 : 333,619.50 = 333,619.50 : x
2. Step 2: Convert to fraction form
   221,205/333,619.50 = 333,619.50/x
3. Step 3: Cross multiply
   221,205x = 333,619.50 × 333,619.50
4. Step 4: Simplify right side
   221,205x = 111,301,970,780.25
5. Step 5: Solve for x
   x = 111,301,970,780.25/221,205
6. Step 6: Final answer
   x = 503,162.09