Finding the Third Proportional to 190,792 and 414,390

Step by Step Solution

1. Step 1: Write the proportion equation
   190,792 : 414,390 = 414,390 : x
2. Step 2: Convert to fraction form
   190,792/414,390 = 414,390/x
3. Step 3: Cross multiply
   190,792x = 414,390 × 414,390
4. Step 4: Simplify right side
   190,792x = 171,719,072,100
5. Step 5: Solve for x
   x = 171,719,072,100/190,792
6. Step 6: Final answer
   x = 900,032.87