Finding the Third Proportional to 416,627 and 895,404

Step by Step Solution

1. Step 1: Write the proportion equation
   416,627 : 895,404 = 895,404 : x
2. Step 2: Convert to fraction form
   416,627/895,404 = 895,404/x
3. Step 3: Cross multiply
   416,627x = 895,404 × 895,404
4. Step 4: Simplify right side
   416,627x = 801,748,323,216
5. Step 5: Solve for x
   x = 801,748,323,216/416,627
6. Step 6: Final answer
   x = 1,924,379.18