Finding the Third Proportional to 105,192 and 154,268

Step by Step Solution

1. Step 1: Write the proportion equation
   105,192 : 154,268 = 154,268 : x
2. Step 2: Convert to fraction form
   105,192/154,268 = 154,268/x
3. Step 3: Cross multiply
   105,192x = 154,268 × 154,268
4. Step 4: Simplify right side
   105,192x = 23,798,615,824
5. Step 5: Solve for x
   x = 23,798,615,824/105,192
6. Step 6: Final answer
   x = 226,239.79