Finding the Third Proportional to 269,445 and 415,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,445 : 415,399.50 = 415,399.50 : x
2. Step 2: Convert to fraction form
   269,445/415,399.50 = 415,399.50/x
3. Step 3: Cross multiply
   269,445x = 415,399.50 × 415,399.50
4. Step 4: Simplify right side
   269,445x = 172,556,744,600.25
5. Step 5: Solve for x
   x = 172,556,744,600.25/269,445
6. Step 6: Final answer
   x = 640,415.46