Finding the Third Proportional to 325,833 and 504,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   325,833 : 504,514.50 = 504,514.50 : x
2. Step 2: Convert to fraction form
   325,833/504,514.50 = 504,514.50/x
3. Step 3: Cross multiply
   325,833x = 504,514.50 × 504,514.50
4. Step 4: Simplify right side
   325,833x = 254,534,880,710.25
5. Step 5: Solve for x
   x = 254,534,880,710.25/325,833
6. Step 6: Final answer
   x = 781,182.02