Finding the Third Proportional to 51,072 and 109,924

Step by Step Solution

1. Step 1: Write the proportion equation
   51,072 : 109,924 = 109,924 : x
2. Step 2: Convert to fraction form
   51,072/109,924 = 109,924/x
3. Step 3: Cross multiply
   51,072x = 109,924 × 109,924
4. Step 4: Simplify right side
   51,072x = 12,083,285,776
5. Step 5: Solve for x
   x = 12,083,285,776/51,072
6. Step 6: Final answer
   x = 236,593.16