Finding the Third Proportional to 187,566 and 404,456

Step by Step Solution

1. Step 1: Write the proportion equation
   187,566 : 404,456 = 404,456 : x
2. Step 2: Convert to fraction form
   187,566/404,456 = 404,456/x
3. Step 3: Cross multiply
   187,566x = 404,456 × 404,456
4. Step 4: Simplify right side
   187,566x = 163,584,655,936
5. Step 5: Solve for x
   x = 163,584,655,936/187,566
6. Step 6: Final answer
   x = 872,144.50