Finding the Third Proportional to 264,772 and 404,085

Step by Step Solution

1. Step 1: Write the proportion equation
   264,772 : 404,085 = 404,085 : x
2. Step 2: Convert to fraction form
   264,772/404,085 = 404,085/x
3. Step 3: Cross multiply
   264,772x = 404,085 × 404,085
4. Step 4: Simplify right side
   264,772x = 163,284,687,225
5. Step 5: Solve for x
   x = 163,284,687,225/264,772
6. Step 6: Final answer
   x = 616,699.23