Finding the Third Proportional to 226,623 and 333,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   226,623 : 333,670.50 = 333,670.50 : x
2. Step 2: Convert to fraction form
   226,623/333,670.50 = 333,670.50/x
3. Step 3: Cross multiply
   226,623x = 333,670.50 × 333,670.50
4. Step 4: Simplify right side
   226,623x = 111,336,002,570.25
5. Step 5: Solve for x
   x = 111,336,002,570.25/226,623
6. Step 6: Final answer
   x = 491,282.89