Finding the Third Proportional to 51,936 and 111,318

Step by Step Solution

1. Step 1: Write the proportion equation
   51,936 : 111,318 = 111,318 : x
2. Step 2: Convert to fraction form
   51,936/111,318 = 111,318/x
3. Step 3: Cross multiply
   51,936x = 111,318 × 111,318
4. Step 4: Simplify right side
   51,936x = 12,391,697,124
5. Step 5: Solve for x
   x = 12,391,697,124/51,936
6. Step 6: Final answer
   x = 238,595.52