Finding the Third Proportional to 401,724.56 and 621,757.27

Step by Step Solution

1. Step 1: Write the proportion equation
   401,724.56 : 621,757.27 = 621,757.27 : x
2. Step 2: Convert to fraction form
   401,724.56/621,757.27 = 621,757.27/x
3. Step 3: Cross multiply
   401,724.56x = 621,757.27 × 621,757.27
4. Step 4: Simplify right side
   401,724.56x = 386,582,097,357.48
5. Step 5: Solve for x
   x = 386,582,097,357.48/401,724.56
6. Step 6: Final answer
   x = 962,306.35