Finding the Third Proportional to 105,499 and 227,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,499 : 227,643.50 = 227,643.50 : x
2. Step 2: Convert to fraction form
   105,499/227,643.50 = 227,643.50/x
3. Step 3: Cross multiply
   105,499x = 227,643.50 × 227,643.50
4. Step 4: Simplify right side
   105,499x = 51,821,563,092.25
5. Step 5: Solve for x
   x = 51,821,563,092.25/105,499
6. Step 6: Final answer
   x = 491,204.31