Finding the Third Proportional to 50,986 and 110,172

Step by Step Solution

1. Step 1: Write the proportion equation
   50,986 : 110,172 = 110,172 : x
2. Step 2: Convert to fraction form
   50,986/110,172 = 110,172/x
3. Step 3: Cross multiply
   50,986x = 110,172 × 110,172
4. Step 4: Simplify right side
   50,986x = 12,137,869,584
5. Step 5: Solve for x
   x = 12,137,869,584/50,986
6. Step 6: Final answer
   x = 238,062.79