Finding the Third Proportional to 105,011 and 230,434

Step by Step Solution

1. Step 1: Write the proportion equation
   105,011 : 230,434 = 230,434 : x
2. Step 2: Convert to fraction form
   105,011/230,434 = 230,434/x
3. Step 3: Cross multiply
   105,011x = 230,434 × 230,434
4. Step 4: Simplify right side
   105,011x = 53,099,828,356
5. Step 5: Solve for x
   x = 53,099,828,356/105,011
6. Step 6: Final answer
   x = 505,659.68