Finding the Third Proportional to 105,042 and 230,493

Step by Step Solution

1. Step 1: Write the proportion equation
   105,042 : 230,493 = 230,493 : x
2. Step 2: Convert to fraction form
   105,042/230,493 = 230,493/x
3. Step 3: Cross multiply
   105,042x = 230,493 × 230,493
4. Step 4: Simplify right side
   105,042x = 53,127,023,049
5. Step 5: Solve for x
   x = 53,127,023,049/105,042
6. Step 6: Final answer
   x = 505,769.34