Finding the Third Proportional to 404,784 and 594,054

Step by Step Solution

1. Step 1: Write the proportion equation
   404,784 : 594,054 = 594,054 : x
2. Step 2: Convert to fraction form
   404,784/594,054 = 594,054/x
3. Step 3: Cross multiply
   404,784x = 594,054 × 594,054
4. Step 4: Simplify right side
   404,784x = 352,900,154,916
5. Step 5: Solve for x
   x = 352,900,154,916/404,784
6. Step 6: Final answer
   x = 871,823.38