Finding the Third Proportional to 109,344 and 236,824

Step by Step Solution

1. Step 1: Write the proportion equation
   109,344 : 236,824 = 236,824 : x
2. Step 2: Convert to fraction form
   109,344/236,824 = 236,824/x
3. Step 3: Cross multiply
   109,344x = 236,824 × 236,824
4. Step 4: Simplify right side
   109,344x = 56,085,606,976
5. Step 5: Solve for x
   x = 56,085,606,976/109,344
6. Step 6: Final answer
   x = 512,928.07