Finding the Third Proportional to 654,877 and 978,274

Step by Step Solution

1. Step 1: Write the proportion equation
   654,877 : 978,274 = 978,274 : x
2. Step 2: Convert to fraction form
   654,877/978,274 = 978,274/x
3. Step 3: Cross multiply
   654,877x = 978,274 × 978,274
4. Step 4: Simplify right side
   654,877x = 957,020,019,076
5. Step 5: Solve for x
   x = 957,020,019,076/654,877
6. Step 6: Final answer
   x = 1,461,373.69