Finding the Third Proportional to 127,892 and 281,164

Step by Step Solution

1. Step 1: Write the proportion equation
   127,892 : 281,164 = 281,164 : x
2. Step 2: Convert to fraction form
   127,892/281,164 = 281,164/x
3. Step 3: Cross multiply
   127,892x = 281,164 × 281,164
4. Step 4: Simplify right side
   127,892x = 79,053,194,896
5. Step 5: Solve for x
   x = 79,053,194,896/127,892
6. Step 6: Final answer
   x = 618,124.63