Finding the Third Proportional to 51,633 and 111,951

Step by Step Solution

1. Step 1: Write the proportion equation
   51,633 : 111,951 = 111,951 : x
2. Step 2: Convert to fraction form
   51,633/111,951 = 111,951/x
3. Step 3: Cross multiply
   51,633x = 111,951 × 111,951
4. Step 4: Simplify right side
   51,633x = 12,533,026,401
5. Step 5: Solve for x
   x = 12,533,026,401/51,633
6. Step 6: Final answer
   x = 242,732.87