Finding the Third Proportional to 269,067 and 416,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,067 : 416,380.50 = 416,380.50 : x
2. Step 2: Convert to fraction form
   269,067/416,380.50 = 416,380.50/x
3. Step 3: Cross multiply
   269,067x = 416,380.50 × 416,380.50
4. Step 4: Simplify right side
   269,067x = 173,372,720,780.25
5. Step 5: Solve for x
   x = 173,372,720,780.25/269,067
6. Step 6: Final answer
   x = 644,347.77