Finding the Third Proportional to 105,731 and 227,967

Step by Step Solution

1. Step 1: Write the proportion equation
   105,731 : 227,967 = 227,967 : x
2. Step 2: Convert to fraction form
   105,731/227,967 = 227,967/x
3. Step 3: Cross multiply
   105,731x = 227,967 × 227,967
4. Step 4: Simplify right side
   105,731x = 51,968,953,089
5. Step 5: Solve for x
   x = 51,968,953,089/105,731
6. Step 6: Final answer
   x = 491,520.49