Finding the Third Proportional to 269,046 and 404,206

Step by Step Solution

1. Step 1: Write the proportion equation
   269,046 : 404,206 = 404,206 : x
2. Step 2: Convert to fraction form
   269,046/404,206 = 404,206/x
3. Step 3: Cross multiply
   269,046x = 404,206 × 404,206
4. Step 4: Simplify right side
   269,046x = 163,382,490,436
5. Step 5: Solve for x
   x = 163,382,490,436/269,046
6. Step 6: Final answer
   x = 607,266.01