Finding the Third Proportional to 654,926 and 978,344

Step by Step Solution

1. Step 1: Write the proportion equation
   654,926 : 978,344 = 978,344 : x
2. Step 2: Convert to fraction form
   654,926/978,344 = 978,344/x
3. Step 3: Cross multiply
   654,926x = 978,344 × 978,344
4. Step 4: Simplify right side
   654,926x = 957,156,982,336
5. Step 5: Solve for x
   x = 957,156,982,336/654,926
6. Step 6: Final answer
   x = 1,461,473.48