Finding the Third Proportional to 128,097 and 281,142

Step by Step Solution

1. Step 1: Write the proportion equation
   128,097 : 281,142 = 281,142 : x
2. Step 2: Convert to fraction form
   128,097/281,142 = 281,142/x
3. Step 3: Cross multiply
   128,097x = 281,142 × 281,142
4. Step 4: Simplify right side
   128,097x = 79,040,824,164
5. Step 5: Solve for x
   x = 79,040,824,164/128,097
6. Step 6: Final answer
   x = 617,038.84