Finding the Third Proportional to 288,864 and 422,597.25

Step by Step Solution

1. Step 1: Write the proportion equation
   288,864 : 422,597.25 = 422,597.25 : x
2. Step 2: Convert to fraction form
   288,864/422,597.25 = 422,597.25/x
3. Step 3: Cross multiply
   288,864x = 422,597.25 × 422,597.25
4. Step 4: Simplify right side
   288,864x = 178,588,435,707.56
5. Step 5: Solve for x
   x = 178,588,435,707.56/288,864
6. Step 6: Final answer
   x = 618,244.00