Finding the Third Proportional to 654,841 and 978,228

Step by Step Solution

1. Step 1: Write the proportion equation
   654,841 : 978,228 = 978,228 : x
2. Step 2: Convert to fraction form
   654,841/978,228 = 978,228/x
3. Step 3: Cross multiply
   654,841x = 978,228 × 978,228
4. Step 4: Simplify right side
   654,841x = 956,930,019,984
5. Step 5: Solve for x
   x = 956,930,019,984/654,841
6. Step 6: Final answer
   x = 1,461,316.59