Finding the Third Proportional to 398,624 and 876,016

Step by Step Solution

1. Step 1: Write the proportion equation
   398,624 : 876,016 = 876,016 : x
2. Step 2: Convert to fraction form
   398,624/876,016 = 876,016/x
3. Step 3: Cross multiply
   398,624x = 876,016 × 876,016
4. Step 4: Simplify right side
   398,624x = 767,404,032,256
5. Step 5: Solve for x
   x = 767,404,032,256/398,624
6. Step 6: Final answer
   x = 1,925,132.54