Finding the Third Proportional to 264,769 and 404,078

Step by Step Solution

1. Step 1: Write the proportion equation
   264,769 : 404,078 = 404,078 : x
2. Step 2: Convert to fraction form
   264,769/404,078 = 404,078/x
3. Step 3: Cross multiply
   264,769x = 404,078 × 404,078
4. Step 4: Simplify right side
   264,769x = 163,279,030,084
5. Step 5: Solve for x
   x = 163,279,030,084/264,769
6. Step 6: Final answer
   x = 616,684.85