Finding the Third Proportional to 585,636 and 795,510

Step by Step Solution

1. Step 1: Write the proportion equation
   585,636 : 795,510 = 795,510 : x
2. Step 2: Convert to fraction form
   585,636/795,510 = 795,510/x
3. Step 3: Cross multiply
   585,636x = 795,510 × 795,510
4. Step 4: Simplify right side
   585,636x = 632,836,160,100
5. Step 5: Solve for x
   x = 632,836,160,100/585,636
6. Step 6: Final answer
   x = 1,080,596.41