Finding the Third Proportional to 585,003 and 898,794

Step by Step Solution

1. Step 1: Write the proportion equation
   585,003 : 898,794 = 898,794 : x
2. Step 2: Convert to fraction form
   585,003/898,794 = 898,794/x
3. Step 3: Cross multiply
   585,003x = 898,794 × 898,794
4. Step 4: Simplify right side
   585,003x = 807,830,654,436
5. Step 5: Solve for x
   x = 807,830,654,436/585,003
6. Step 6: Final answer
   x = 1,380,900.02