Finding the Third Proportional to 109,696 and 236,016

Step by Step Solution

1. Step 1: Write the proportion equation
   109,696 : 236,016 = 236,016 : x
2. Step 2: Convert to fraction form
   109,696/236,016 = 236,016/x
3. Step 3: Cross multiply
   109,696x = 236,016 × 236,016
4. Step 4: Simplify right side
   109,696x = 55,703,552,256
5. Step 5: Solve for x
   x = 55,703,552,256/109,696
6. Step 6: Final answer
   x = 507,799.30