Finding the Third Proportional to 215,874 and 458,055

Step by Step Solution

1. Step 1: Write the proportion equation
   215,874 : 458,055 = 458,055 : x
2. Step 2: Convert to fraction form
   215,874/458,055 = 458,055/x
3. Step 3: Cross multiply
   215,874x = 458,055 × 458,055
4. Step 4: Simplify right side
   215,874x = 209,814,383,025
5. Step 5: Solve for x
   x = 209,814,383,025/215,874
6. Step 6: Final answer
   x = 971,929.84