Finding the Third Proportional to 57,986 and 111,364

Step by Step Solution

1. Step 1: Write the proportion equation
   57,986 : 111,364 = 111,364 : x
2. Step 2: Convert to fraction form
   57,986/111,364 = 111,364/x
3. Step 3: Cross multiply
   57,986x = 111,364 × 111,364
4. Step 4: Simplify right side
   57,986x = 12,401,940,496
5. Step 5: Solve for x
   x = 12,401,940,496/57,986
6. Step 6: Final answer
   x = 213,878.19