Finding the Third Proportional to 105,462 and 227,052

Step by Step Solution

1. Step 1: Write the proportion equation
   105,462 : 227,052 = 227,052 : x
2. Step 2: Convert to fraction form
   105,462/227,052 = 227,052/x
3. Step 3: Cross multiply
   105,462x = 227,052 × 227,052
4. Step 4: Simplify right side
   105,462x = 51,552,610,704
5. Step 5: Solve for x
   x = 51,552,610,704/105,462
6. Step 6: Final answer
   x = 488,826.41