Finding the Third Proportional to 105,429 and 225,924

Step by Step Solution

1. Step 1: Write the proportion equation
   105,429 : 225,924 = 225,924 : x
2. Step 2: Convert to fraction form
   105,429/225,924 = 225,924/x
3. Step 3: Cross multiply
   105,429x = 225,924 × 225,924
4. Step 4: Simplify right side
   105,429x = 51,041,653,776
5. Step 5: Solve for x
   x = 51,041,653,776/105,429
6. Step 6: Final answer
   x = 484,132.96