Finding the Third Proportional to 654,894 and 978,321

Step by Step Solution

1. Step 1: Write the proportion equation
   654,894 : 978,321 = 978,321 : x
2. Step 2: Convert to fraction form
   654,894/978,321 = 978,321/x
3. Step 3: Cross multiply
   654,894x = 978,321 × 978,321
4. Step 4: Simplify right side
   654,894x = 957,111,979,041
5. Step 5: Solve for x
   x = 957,111,979,041/654,894
6. Step 6: Final answer
   x = 1,461,476.18