Finding the Third Proportional to 414,390 and 907,824

Step by Step Solution

1. Step 1: Write the proportion equation
   414,390 : 907,824 = 907,824 : x
2. Step 2: Convert to fraction form
   414,390/907,824 = 907,824/x
3. Step 3: Cross multiply
   414,390x = 907,824 × 907,824
4. Step 4: Simplify right side
   414,390x = 824,144,414,976
5. Step 5: Solve for x
   x = 824,144,414,976/414,390
6. Step 6: Final answer
   x = 1,988,813.47