Finding the Third Proportional to 269,181 and 398,567.25

Step by Step Solution

1. Step 1: Write the proportion equation
   269,181 : 398,567.25 = 398,567.25 : x
2. Step 2: Convert to fraction form
   269,181/398,567.25 = 398,567.25/x
3. Step 3: Cross multiply
   269,181x = 398,567.25 × 398,567.25
4. Step 4: Simplify right side
   269,181x = 158,855,852,772.56
5. Step 5: Solve for x
   x = 158,855,852,772.56/269,181
6. Step 6: Final answer
   x = 590,145.12