Finding the Third Proportional to 146,892 and 193,986

Step by Step Solution

1. Step 1: Write the proportion equation
   146,892 : 193,986 = 193,986 : x
2. Step 2: Convert to fraction form
   146,892/193,986 = 193,986/x
3. Step 3: Cross multiply
   146,892x = 193,986 × 193,986
4. Step 4: Simplify right side
   146,892x = 37,630,568,196
5. Step 5: Solve for x
   x = 37,630,568,196/146,892
6. Step 6: Final answer
   x = 256,178.47