Finding the Third Proportional to 52,262 and 111,268

Step by Step Solution

1. Step 1: Write the proportion equation
   52,262 : 111,268 = 111,268 : x
2. Step 2: Convert to fraction form
   52,262/111,268 = 111,268/x
3. Step 3: Cross multiply
   52,262x = 111,268 × 111,268
4. Step 4: Simplify right side
   52,262x = 12,380,567,824
5. Step 5: Solve for x
   x = 12,380,567,824/52,262
6. Step 6: Final answer
   x = 236,894.26