Finding the Third Proportional to 50,392 and 110,824

Step by Step Solution

1. Step 1: Write the proportion equation
   50,392 : 110,824 = 110,824 : x
2. Step 2: Convert to fraction form
   50,392/110,824 = 110,824/x
3. Step 3: Cross multiply
   50,392x = 110,824 × 110,824
4. Step 4: Simplify right side
   50,392x = 12,281,958,976
5. Step 5: Solve for x
   x = 12,281,958,976/50,392
6. Step 6: Final answer
   x = 243,728.35