Finding the Third Proportional to 105,413 and 226,945

Step by Step Solution

1. Step 1: Write the proportion equation
   105,413 : 226,945 = 226,945 : x
2. Step 2: Convert to fraction form
   105,413/226,945 = 226,945/x
3. Step 3: Cross multiply
   105,413x = 226,945 × 226,945
4. Step 4: Simplify right side
   105,413x = 51,504,033,025
5. Step 5: Solve for x
   x = 51,504,033,025/105,413
6. Step 6: Final answer
   x = 488,592.80