Finding the Third Proportional to 414,567.25 and 621,729

Step by Step Solution

1. Step 1: Write the proportion equation
   414,567.25 : 621,729 = 621,729 : x
2. Step 2: Convert to fraction form
   414,567.25/621,729 = 621,729/x
3. Step 3: Cross multiply
   414,567.25x = 621,729 × 621,729
4. Step 4: Simplify right side
   414,567.25x = 386,546,949,441
5. Step 5: Solve for x
   x = 386,546,949,441/414,567.25
6. Step 6: Final answer
   x = 932,410.72