Finding the Third Proportional to 105,312 and 225,456

Step by Step Solution

1. Step 1: Write the proportion equation
   105,312 : 225,456 = 225,456 : x
2. Step 2: Convert to fraction form
   105,312/225,456 = 225,456/x
3. Step 3: Cross multiply
   105,312x = 225,456 × 225,456
4. Step 4: Simplify right side
   105,312x = 50,830,407,936
5. Step 5: Solve for x
   x = 50,830,407,936/105,312
6. Step 6: Final answer
   x = 482,664.92