Finding the Third Proportional to 455,877 and 978,214

Step by Step Solution

1. Step 1: Write the proportion equation
   455,877 : 978,214 = 978,214 : x
2. Step 2: Convert to fraction form
   455,877/978,214 = 978,214/x
3. Step 3: Cross multiply
   455,877x = 978,214 × 978,214
4. Step 4: Simplify right side
   455,877x = 956,902,629,796
5. Step 5: Solve for x
   x = 956,902,629,796/455,877
6. Step 6: Final answer
   x = 2,099,036.87