Finding the Third Proportional to 177,404 and 267,942

Step by Step Solution

1. Step 1: Write the proportion equation
   177,404 : 267,942 = 267,942 : x
2. Step 2: Convert to fraction form
   177,404/267,942 = 267,942/x
3. Step 3: Cross multiply
   177,404x = 267,942 × 267,942
4. Step 4: Simplify right side
   177,404x = 71,792,915,364
5. Step 5: Solve for x
   x = 71,792,915,364/177,404
6. Step 6: Final answer
   x = 404,686.00