Finding the Third Proportional to 103,648 and 227,600

Step by Step Solution

1. Step 1: Write the proportion equation
   103,648 : 227,600 = 227,600 : x
2. Step 2: Convert to fraction form
   103,648/227,600 = 227,600/x
3. Step 3: Cross multiply
   103,648x = 227,600 × 227,600
4. Step 4: Simplify right side
   103,648x = 51,801,760,000
5. Step 5: Solve for x
   x = 51,801,760,000/103,648
6. Step 6: Final answer
   x = 499,785.43