Finding the Third Proportional to 205,441 and 288,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,441 : 288,457.50 = 288,457.50 : x
2. Step 2: Convert to fraction form
   205,441/288,457.50 = 288,457.50/x
3. Step 3: Cross multiply
   205,441x = 288,457.50 × 288,457.50
4. Step 4: Simplify right side
   205,441x = 83,207,729,306.25
5. Step 5: Solve for x
   x = 83,207,729,306.25/205,441
6. Step 6: Final answer
   x = 405,020.08