Finding the Third Proportional to 50,986 and 109,784

Step by Step Solution

1. Step 1: Write the proportion equation
   50,986 : 109,784 = 109,784 : x
2. Step 2: Convert to fraction form
   50,986/109,784 = 109,784/x
3. Step 3: Cross multiply
   50,986x = 109,784 × 109,784
4. Step 4: Simplify right side
   50,986x = 12,052,526,656
5. Step 5: Solve for x
   x = 12,052,526,656/50,986
6. Step 6: Final answer
   x = 236,388.94