Finding the Third Proportional to 63,892 and 138,644

Step by Step Solution

1. Step 1: Write the proportion equation
   63,892 : 138,644 = 138,644 : x
2. Step 2: Convert to fraction form
   63,892/138,644 = 138,644/x
3. Step 3: Cross multiply
   63,892x = 138,644 × 138,644
4. Step 4: Simplify right side
   63,892x = 19,222,158,736
5. Step 5: Solve for x
   x = 19,222,158,736/63,892
6. Step 6: Final answer
   x = 300,853.92