Finding the Third Proportional to 455,874 and 978,206

Step by Step Solution

1. Step 1: Write the proportion equation
   455,874 : 978,206 = 978,206 : x
2. Step 2: Convert to fraction form
   455,874/978,206 = 978,206/x
3. Step 3: Cross multiply
   455,874x = 978,206 × 978,206
4. Step 4: Simplify right side
   455,874x = 956,886,978,436
5. Step 5: Solve for x
   x = 956,886,978,436/455,874
6. Step 6: Final answer
   x = 2,099,016.35