Finding the Third Proportional to 404,748 and 594,009

Step by Step Solution

1. Step 1: Write the proportion equation
   404,748 : 594,009 = 594,009 : x
2. Step 2: Convert to fraction form
   404,748/594,009 = 594,009/x
3. Step 3: Cross multiply
   404,748x = 594,009 × 594,009
4. Step 4: Simplify right side
   404,748x = 352,846,692,081
5. Step 5: Solve for x
   x = 352,846,692,081/404,748
6. Step 6: Final answer
   x = 871,768.83