Finding the Third Proportional to 51,819 and 111,186

Step by Step Solution

1. Step 1: Write the proportion equation
   51,819 : 111,186 = 111,186 : x
2. Step 2: Convert to fraction form
   51,819/111,186 = 111,186/x
3. Step 3: Cross multiply
   51,819x = 111,186 × 111,186
4. Step 4: Simplify right side
   51,819x = 12,362,326,596
5. Step 5: Solve for x
   x = 12,362,326,596/51,819
6. Step 6: Final answer
   x = 238,567.45