Finding the Third Proportional to 105,357 and 230,424

Step by Step Solution

1. Step 1: Write the proportion equation
   105,357 : 230,424 = 230,424 : x
2. Step 2: Convert to fraction form
   105,357/230,424 = 230,424/x
3. Step 3: Cross multiply
   105,357x = 230,424 × 230,424
4. Step 4: Simplify right side
   105,357x = 53,095,219,776
5. Step 5: Solve for x
   x = 53,095,219,776/105,357
6. Step 6: Final answer
   x = 503,955.31