Finding the Third Proportional to 269,716 and 388,502

Step by Step Solution

1. Step 1: Write the proportion equation
   269,716 : 388,502 = 388,502 : x
2. Step 2: Convert to fraction form
   269,716/388,502 = 388,502/x
3. Step 3: Cross multiply
   269,716x = 388,502 × 388,502
4. Step 4: Simplify right side
   269,716x = 150,933,804,004
5. Step 5: Solve for x
   x = 150,933,804,004/269,716
6. Step 6: Final answer
   x = 559,602.71