Finding the Third Proportional to 172,821 and 268,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,821 : 268,222.50 = 268,222.50 : x
2. Step 2: Convert to fraction form
   172,821/268,222.50 = 268,222.50/x
3. Step 3: Cross multiply
   172,821x = 268,222.50 × 268,222.50
4. Step 4: Simplify right side
   172,821x = 71,943,309,506.25
5. Step 5: Solve for x
   x = 71,943,309,506.25/172,821
6. Step 6: Final answer
   x = 416,288.01