Finding the Third Proportional to 50,884 and 109,544

Step by Step Solution

1. Step 1: Write the proportion equation
   50,884 : 109,544 = 109,544 : x
2. Step 2: Convert to fraction form
   50,884/109,544 = 109,544/x
3. Step 3: Cross multiply
   50,884x = 109,544 × 109,544
4. Step 4: Simplify right side
   50,884x = 11,999,887,936
5. Step 5: Solve for x
   x = 11,999,887,936/50,884
6. Step 6: Final answer
   x = 235,828.31