Finding the Third Proportional to 325,944 and 503,678.25

Step by Step Solution

1. Step 1: Write the proportion equation
   325,944 : 503,678.25 = 503,678.25 : x
2. Step 2: Convert to fraction form
   325,944/503,678.25 = 503,678.25/x
3. Step 3: Cross multiply
   325,944x = 503,678.25 × 503,678.25
4. Step 4: Simplify right side
   325,944x = 253,691,779,523.06
5. Step 5: Solve for x
   x = 253,691,779,523.06/325,944
6. Step 6: Final answer
   x = 778,329.34