Finding the Third Proportional to 363,178.69 and 428,788.69

Step by Step Solution

1. Step 1: Write the proportion equation
   363,178.69 : 428,788.69 = 428,788.69 : x
2. Step 2: Convert to fraction form
   363,178.69/428,788.69 = 428,788.69/x
3. Step 3: Cross multiply
   363,178.69x = 428,788.69 × 428,788.69
4. Step 4: Simplify right side
   363,178.69x = 183,859,738,527.97
5. Step 5: Solve for x
   x = 183,859,738,527.97/363,178.69
6. Step 6: Final answer
   x = 506,251.45