Finding the Third Proportional to 50,424 and 109,296

Step by Step Solution

1. Step 1: Write the proportion equation
   50,424 : 109,296 = 109,296 : x
2. Step 2: Convert to fraction form
   50,424/109,296 = 109,296/x
3. Step 3: Cross multiply
   50,424x = 109,296 × 109,296
4. Step 4: Simplify right side
   50,424x = 11,945,615,616
5. Step 5: Solve for x
   x = 11,945,615,616/50,424
6. Step 6: Final answer
   x = 236,903.37