Finding the Third Proportional to 105,249 and 225,442

Step by Step Solution

1. Step 1: Write the proportion equation
   105,249 : 225,442 = 225,442 : x
2. Step 2: Convert to fraction form
   105,249/225,442 = 225,442/x
3. Step 3: Cross multiply
   105,249x = 225,442 × 225,442
4. Step 4: Simplify right side
   105,249x = 50,824,095,364
5. Step 5: Solve for x
   x = 50,824,095,364/105,249
6. Step 6: Final answer
   x = 482,893.86