Finding the Third Proportional to 185,757 and 287,004

Step by Step Solution

1. Step 1: Write the proportion equation
   185,757 : 287,004 = 287,004 : x
2. Step 2: Convert to fraction form
   185,757/287,004 = 287,004/x
3. Step 3: Cross multiply
   185,757x = 287,004 × 287,004
4. Step 4: Simplify right side
   185,757x = 82,371,296,016
5. Step 5: Solve for x
   x = 82,371,296,016/185,757
6. Step 6: Final answer
   x = 443,435.76