Finding the Third Proportional to 105,502 and 227,650

Step by Step Solution

1. Step 1: Write the proportion equation
   105,502 : 227,650 = 227,650 : x
2. Step 2: Convert to fraction form
   105,502/227,650 = 227,650/x
3. Step 3: Cross multiply
   105,502x = 227,650 × 227,650
4. Step 4: Simplify right side
   105,502x = 51,824,522,500
5. Step 5: Solve for x
   x = 51,824,522,500/105,502
6. Step 6: Final answer
   x = 491,218.39