Finding the Third Proportional to 654,884 and 978,286

Step by Step Solution

1. Step 1: Write the proportion equation
   654,884 : 978,286 = 978,286 : x
2. Step 2: Convert to fraction form
   654,884/978,286 = 978,286/x
3. Step 3: Cross multiply
   654,884x = 978,286 × 978,286
4. Step 4: Simplify right side
   654,884x = 957,043,497,796
5. Step 5: Solve for x
   x = 957,043,497,796/654,884
6. Step 6: Final answer
   x = 1,461,393.92