Finding the Third Proportional to 186,720 and 287,002

Step by Step Solution

1. Step 1: Write the proportion equation
   186,720 : 287,002 = 287,002 : x
2. Step 2: Convert to fraction form
   186,720/287,002 = 287,002/x
3. Step 3: Cross multiply
   186,720x = 287,002 × 287,002
4. Step 4: Simplify right side
   186,720x = 82,370,148,004
5. Step 5: Solve for x
   x = 82,370,148,004/186,720
6. Step 6: Final answer
   x = 441,142.61