Finding the Third Proportional to 414,664 and 895,488

Step by Step Solution

1. Step 1: Write the proportion equation
   414,664 : 895,488 = 895,488 : x
2. Step 2: Convert to fraction form
   414,664/895,488 = 895,488/x
3. Step 3: Cross multiply
   414,664x = 895,488 × 895,488
4. Step 4: Simplify right side
   414,664x = 801,898,758,144
5. Step 5: Solve for x
   x = 801,898,758,144/414,664
6. Step 6: Final answer
   x = 1,933,851.89