Finding the Third Proportional to 105,036 and 230,488

Step by Step Solution

1. Step 1: Write the proportion equation
   105,036 : 230,488 = 230,488 : x
2. Step 2: Convert to fraction form
   105,036/230,488 = 230,488/x
3. Step 3: Cross multiply
   105,036x = 230,488 × 230,488
4. Step 4: Simplify right side
   105,036x = 53,124,718,144
5. Step 5: Solve for x
   x = 53,124,718,144/105,036
6. Step 6: Final answer
   x = 505,776.29