Finding the Third Proportional to 221,017.50 and 333,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   221,017.50 : 333,364.50 = 333,364.50 : x
2. Step 2: Convert to fraction form
   221,017.50/333,364.50 = 333,364.50/x
3. Step 3: Cross multiply
   221,017.50x = 333,364.50 × 333,364.50
4. Step 4: Simplify right side
   221,017.50x = 111,131,889,860.25
5. Step 5: Solve for x
   x = 111,131,889,860.25/221,017.50
6. Step 6: Final answer
   x = 502,819.41