Finding the Third Proportional to 52,686 and 111,573

Step by Step Solution

1. Step 1: Write the proportion equation
   52,686 : 111,573 = 111,573 : x
2. Step 2: Convert to fraction form
   52,686/111,573 = 111,573/x
3. Step 3: Cross multiply
   52,686x = 111,573 × 111,573
4. Step 4: Simplify right side
   52,686x = 12,448,534,329
5. Step 5: Solve for x
   x = 12,448,534,329/52,686
6. Step 6: Final answer
   x = 236,277.84