Finding the Third Proportional to 214,185 and 300,864

Step by Step Solution

1. Step 1: Write the proportion equation
   214,185 : 300,864 = 300,864 : x
2. Step 2: Convert to fraction form
   214,185/300,864 = 300,864/x
3. Step 3: Cross multiply
   214,185x = 300,864 × 300,864
4. Step 4: Simplify right side
   214,185x = 90,519,146,496
5. Step 5: Solve for x
   x = 90,519,146,496/214,185
6. Step 6: Final answer
   x = 422,621.32