Finding the Third Proportional to 51,797 and 111,146

Step by Step Solution

1. Step 1: Write the proportion equation
   51,797 : 111,146 = 111,146 : x
2. Step 2: Convert to fraction form
   51,797/111,146 = 111,146/x
3. Step 3: Cross multiply
   51,797x = 111,146 × 111,146
4. Step 4: Simplify right side
   51,797x = 12,353,433,316
5. Step 5: Solve for x
   x = 12,353,433,316/51,797
6. Step 6: Final answer
   x = 238,497.08