Finding the Third Proportional to 214,864 and 463,892

Step by Step Solution

1. Step 1: Write the proportion equation
   214,864 : 463,892 = 463,892 : x
2. Step 2: Convert to fraction form
   214,864/463,892 = 463,892/x
3. Step 3: Cross multiply
   214,864x = 463,892 × 463,892
4. Step 4: Simplify right side
   214,864x = 215,195,787,664
5. Step 5: Solve for x
   x = 215,195,787,664/214,864
6. Step 6: Final answer
   x = 1,001,544.18