Finding the Third Proportional to 214,568 and 456,856

Step by Step Solution

1. Step 1: Write the proportion equation
   214,568 : 456,856 = 456,856 : x
2. Step 2: Convert to fraction form
   214,568/456,856 = 456,856/x
3. Step 3: Cross multiply
   214,568x = 456,856 × 456,856
4. Step 4: Simplify right side
   214,568x = 208,717,404,736
5. Step 5: Solve for x
   x = 208,717,404,736/214,568
6. Step 6: Final answer
   x = 972,733.14