Finding the Third Proportional to 416,114 and 895,380

Step by Step Solution

1. Step 1: Write the proportion equation
   416,114 : 895,380 = 895,380 : x
2. Step 2: Convert to fraction form
   416,114/895,380 = 895,380/x
3. Step 3: Cross multiply
   416,114x = 895,380 × 895,380
4. Step 4: Simplify right side
   416,114x = 801,705,344,400
5. Step 5: Solve for x
   x = 801,705,344,400/416,114
6. Step 6: Final answer
   x = 1,926,648.33