Finding the Third Proportional to 50,978 and 111,172

Step by Step Solution

1. Step 1: Write the proportion equation
   50,978 : 111,172 = 111,172 : x
2. Step 2: Convert to fraction form
   50,978/111,172 = 111,172/x
3. Step 3: Cross multiply
   50,978x = 111,172 × 111,172
4. Step 4: Simplify right side
   50,978x = 12,359,213,584
5. Step 5: Solve for x
   x = 12,359,213,584/50,978
6. Step 6: Final answer
   x = 242,442.10