Finding the Third Proportional to 105,466 and 227,507

Step by Step Solution

1. Step 1: Write the proportion equation
   105,466 : 227,507 = 227,507 : x
2. Step 2: Convert to fraction form
   105,466/227,507 = 227,507/x
3. Step 3: Cross multiply
   105,466x = 227,507 × 227,507
4. Step 4: Simplify right side
   105,466x = 51,759,435,049
5. Step 5: Solve for x
   x = 51,759,435,049/105,466
6. Step 6: Final answer
   x = 490,768.92