Finding the Third Proportional to 227,256 and 336,510

Step by Step Solution

1. Step 1: Write the proportion equation
   227,256 : 336,510 = 336,510 : x
2. Step 2: Convert to fraction form
   227,256/336,510 = 336,510/x
3. Step 3: Cross multiply
   227,256x = 336,510 × 336,510
4. Step 4: Simplify right side
   227,256x = 113,238,980,100
5. Step 5: Solve for x
   x = 113,238,980,100/227,256
6. Step 6: Final answer
   x = 498,288.19