Finding the Third Proportional to 654,811 and 978,184

Step by Step Solution

1. Step 1: Write the proportion equation
   654,811 : 978,184 = 978,184 : x
2. Step 2: Convert to fraction form
   654,811/978,184 = 978,184/x
3. Step 3: Cross multiply
   654,811x = 978,184 × 978,184
4. Step 4: Simplify right side
   654,811x = 956,843,937,856
5. Step 5: Solve for x
   x = 956,843,937,856/654,811
6. Step 6: Final answer
   x = 1,461,252.08