Finding the Third Proportional to 262,752 and 407,622

Step by Step Solution

1. Step 1: Write the proportion equation
   262,752 : 407,622 = 407,622 : x
2. Step 2: Convert to fraction form
   262,752/407,622 = 407,622/x
3. Step 3: Cross multiply
   262,752x = 407,622 × 407,622
4. Step 4: Simplify right side
   262,752x = 166,155,694,884
5. Step 5: Solve for x
   x = 166,155,694,884/262,752
6. Step 6: Final answer
   x = 632,367.00