Finding the Third Proportional to 225,978 and 309,864

Step by Step Solution

1. Step 1: Write the proportion equation
   225,978 : 309,864 = 309,864 : x
2. Step 2: Convert to fraction form
   225,978/309,864 = 309,864/x
3. Step 3: Cross multiply
   225,978x = 309,864 × 309,864
4. Step 4: Simplify right side
   225,978x = 96,015,698,496
5. Step 5: Solve for x
   x = 96,015,698,496/225,978
6. Step 6: Final answer
   x = 424,889.58