Finding the Third Proportional to 451,874 and 978,142

Step by Step Solution

1. Step 1: Write the proportion equation
   451,874 : 978,142 = 978,142 : x
2. Step 2: Convert to fraction form
   451,874/978,142 = 978,142/x
3. Step 3: Cross multiply
   451,874x = 978,142 × 978,142
4. Step 4: Simplify right side
   451,874x = 956,761,772,164
5. Step 5: Solve for x
   x = 956,761,772,164/451,874
6. Step 6: Final answer
   x = 2,117,319.81