Finding the Third Proportional to 104,256 and 223,274

Step by Step Solution

1. Step 1: Write the proportion equation
   104,256 : 223,274 = 223,274 : x
2. Step 2: Convert to fraction form
   104,256/223,274 = 223,274/x
3. Step 3: Cross multiply
   104,256x = 223,274 × 223,274
4. Step 4: Simplify right side
   104,256x = 49,851,279,076
5. Step 5: Solve for x
   x = 49,851,279,076/104,256
6. Step 6: Final answer
   x = 478,162.21