Finding the Third Proportional to 416,268 and 895,662

Step by Step Solution

1. Step 1: Write the proportion equation
   416,268 : 895,662 = 895,662 : x
2. Step 2: Convert to fraction form
   416,268/895,662 = 895,662/x
3. Step 3: Cross multiply
   416,268x = 895,662 × 895,662
4. Step 4: Simplify right side
   416,268x = 802,210,418,244
5. Step 5: Solve for x
   x = 802,210,418,244/416,268
6. Step 6: Final answer
   x = 1,927,148.90