Finding the Third Proportional to 48,196 and 104,456

Step by Step Solution

1. Step 1: Write the proportion equation
   48,196 : 104,456 = 104,456 : x
2. Step 2: Convert to fraction form
   48,196/104,456 = 104,456/x
3. Step 3: Cross multiply
   48,196x = 104,456 × 104,456
4. Step 4: Simplify right side
   48,196x = 10,911,055,936
5. Step 5: Solve for x
   x = 10,911,055,936/48,196
6. Step 6: Final answer
   x = 226,389.24