Finding the Third Proportional to 105,507 and 227,658

Step by Step Solution

1. Step 1: Write the proportion equation
   105,507 : 227,658 = 227,658 : x
2. Step 2: Convert to fraction form
   105,507/227,658 = 227,658/x
3. Step 3: Cross multiply
   105,507x = 227,658 × 227,658
4. Step 4: Simplify right side
   105,507x = 51,828,164,964
5. Step 5: Solve for x
   x = 51,828,164,964/105,507
6. Step 6: Final answer
   x = 491,229.63