Finding the Third Proportional to 109,168 and 236,768

Step by Step Solution

1. Step 1: Write the proportion equation
   109,168 : 236,768 = 236,768 : x
2. Step 2: Convert to fraction form
   109,168/236,768 = 236,768/x
3. Step 3: Cross multiply
   109,168x = 236,768 × 236,768
4. Step 4: Simplify right side
   109,168x = 56,059,085,824
5. Step 5: Solve for x
   x = 56,059,085,824/109,168
6. Step 6: Final answer
   x = 513,512.07