Finding the Third Proportional to 49,824 and 108,072

Step by Step Solution

1. Step 1: Write the proportion equation
   49,824 : 108,072 = 108,072 : x
2. Step 2: Convert to fraction form
   49,824/108,072 = 108,072/x
3. Step 3: Cross multiply
   49,824x = 108,072 × 108,072
4. Step 4: Simplify right side
   49,824x = 11,679,557,184
5. Step 5: Solve for x
   x = 11,679,557,184/49,824
6. Step 6: Final answer
   x = 234,416.29