Finding the Third Proportional to 50,911 and 111,784

Step by Step Solution

1. Step 1: Write the proportion equation
   50,911 : 111,784 = 111,784 : x
2. Step 2: Convert to fraction form
   50,911/111,784 = 111,784/x
3. Step 3: Cross multiply
   50,911x = 111,784 × 111,784
4. Step 4: Simplify right side
   50,911x = 12,495,662,656
5. Step 5: Solve for x
   x = 12,495,662,656/50,911
6. Step 6: Final answer
   x = 245,441.31