Finding the Third Proportional to 262,399.50 and 417,732

Step by Step Solution

1. Step 1: Write the proportion equation
   262,399.50 : 417,732 = 417,732 : x
2. Step 2: Convert to fraction form
   262,399.50/417,732 = 417,732/x
3. Step 3: Cross multiply
   262,399.50x = 417,732 × 417,732
4. Step 4: Simplify right side
   262,399.50x = 174,500,023,824
5. Step 5: Solve for x
   x = 174,500,023,824/262,399.50
6. Step 6: Final answer
   x = 665,016.60