Finding the Third Proportional to 50,338 and 108,556.75

Step by Step Solution

1. Step 1: Write the proportion equation
   50,338 : 108,556.75 = 108,556.75 : x
2. Step 2: Convert to fraction form
   50,338/108,556.75 = 108,556.75/x
3. Step 3: Cross multiply
   50,338x = 108,556.75 × 108,556.75
4. Step 4: Simplify right side
   50,338x = 11,784,567,970.56
5. Step 5: Solve for x
   x = 11,784,567,970.56/50,338
6. Step 6: Final answer
   x = 234,108.78