Finding the Third Proportional to 416,144 and 897,844

Step by Step Solution

1. Step 1: Write the proportion equation
   416,144 : 897,844 = 897,844 : x
2. Step 2: Convert to fraction form
   416,144/897,844 = 897,844/x
3. Step 3: Cross multiply
   416,144x = 897,844 × 897,844
4. Step 4: Simplify right side
   416,144x = 806,123,848,336
5. Step 5: Solve for x
   x = 806,123,848,336/416,144
6. Step 6: Final answer
   x = 1,937,127.17