Finding the Third Proportional to 51,541 and 111,894

Step by Step Solution

1. Step 1: Write the proportion equation
   51,541 : 111,894 = 111,894 : x
2. Step 2: Convert to fraction form
   51,541/111,894 = 111,894/x
3. Step 3: Cross multiply
   51,541x = 111,894 × 111,894
4. Step 4: Simplify right side
   51,541x = 12,520,267,236
5. Step 5: Solve for x
   x = 12,520,267,236/51,541
6. Step 6: Final answer
   x = 242,918.59