Finding the Third Proportional to 50,986 and 108,158

Step by Step Solution

1. Step 1: Write the proportion equation
   50,986 : 108,158 = 108,158 : x
2. Step 2: Convert to fraction form
   50,986/108,158 = 108,158/x
3. Step 3: Cross multiply
   50,986x = 108,158 × 108,158
4. Step 4: Simplify right side
   50,986x = 11,698,152,964
5. Step 5: Solve for x
   x = 11,698,152,964/50,986
6. Step 6: Final answer
   x = 229,438.53