Finding the Third Proportional to 226,422.50 and 333,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   226,422.50 : 333,071.50 = 333,071.50 : x
2. Step 2: Convert to fraction form
   226,422.50/333,071.50 = 333,071.50/x
3. Step 3: Cross multiply
   226,422.50x = 333,071.50 × 333,071.50
4. Step 4: Simplify right side
   226,422.50x = 110,936,624,112.25
5. Step 5: Solve for x
   x = 110,936,624,112.25/226,422.50
6. Step 6: Final answer
   x = 489,954.06