Finding the Third Proportional to 654,823 and 978,201

Step by Step Solution

1. Step 1: Write the proportion equation
   654,823 : 978,201 = 978,201 : x
2. Step 2: Convert to fraction form
   654,823/978,201 = 978,201/x
3. Step 3: Cross multiply
   654,823x = 978,201 × 978,201
4. Step 4: Simplify right side
   654,823x = 956,877,196,401
5. Step 5: Solve for x
   x = 956,877,196,401/654,823
6. Step 6: Final answer
   x = 1,461,276.10