Finding the Third Proportional to 224,298 and 333,204.75

Step by Step Solution

1. Step 1: Write the proportion equation
   224,298 : 333,204.75 = 333,204.75 : x
2. Step 2: Convert to fraction form
   224,298/333,204.75 = 333,204.75/x
3. Step 3: Cross multiply
   224,298x = 333,204.75 × 333,204.75
4. Step 4: Simplify right side
   224,298x = 111,025,405,422.56
5. Step 5: Solve for x
   x = 111,025,405,422.56/224,298
6. Step 6: Final answer
   x = 494,990.62