Finding the Third Proportional to 654,911 and 978,322

Step by Step Solution

1. Step 1: Write the proportion equation
   654,911 : 978,322 = 978,322 : x
2. Step 2: Convert to fraction form
   654,911/978,322 = 978,322/x
3. Step 3: Cross multiply
   654,911x = 978,322 × 978,322
4. Step 4: Simplify right side
   654,911x = 957,113,935,684
5. Step 5: Solve for x
   x = 957,113,935,684/654,911
6. Step 6: Final answer
   x = 1,461,441.23