Finding the Third Proportional to 50,892 and 114,312

Step by Step Solution

1. Step 1: Write the proportion equation
   50,892 : 114,312 = 114,312 : x
2. Step 2: Convert to fraction form
   50,892/114,312 = 114,312/x
3. Step 3: Cross multiply
   50,892x = 114,312 × 114,312
4. Step 4: Simplify right side
   50,892x = 13,067,233,344
5. Step 5: Solve for x
   x = 13,067,233,344/50,892
6. Step 6: Final answer
   x = 256,764.00