Finding the Third Proportional to 105,046 and 230,502

Step by Step Solution

1. Step 1: Write the proportion equation
   105,046 : 230,502 = 230,502 : x
2. Step 2: Convert to fraction form
   105,046/230,502 = 230,502/x
3. Step 3: Cross multiply
   105,046x = 230,502 × 230,502
4. Step 4: Simplify right side
   105,046x = 53,131,172,004
5. Step 5: Solve for x
   x = 53,131,172,004/105,046
6. Step 6: Final answer
   x = 505,789.58