Finding the Third Proportional to 325,549 and 504,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   325,549 : 504,017.50 = 504,017.50 : x
2. Step 2: Convert to fraction form
   325,549/504,017.50 = 504,017.50/x
3. Step 3: Cross multiply
   325,549x = 504,017.50 × 504,017.50
4. Step 4: Simplify right side
   325,549x = 254,033,640,306.25
5. Step 5: Solve for x
   x = 254,033,640,306.25/325,549
6. Step 6: Final answer
   x = 780,323.82