Finding the Third Proportional to 309,933.25 and 469,578

Step by Step Solution

1. Step 1: Write the proportion equation
   309,933.25 : 469,578 = 469,578 : x
2. Step 2: Convert to fraction form
   309,933.25/469,578 = 469,578/x
3. Step 3: Cross multiply
   309,933.25x = 469,578 × 469,578
4. Step 4: Simplify right side
   309,933.25x = 220,503,498,084
5. Step 5: Solve for x
   x = 220,503,498,084/309,933.25
6. Step 6: Final answer
   x = 711,454.80