Finding the Third Proportional to 402,648 and 851,952

Step by Step Solution

1. Step 1: Write the proportion equation
   402,648 : 851,952 = 851,952 : x
2. Step 2: Convert to fraction form
   402,648/851,952 = 851,952/x
3. Step 3: Cross multiply
   402,648x = 851,952 × 851,952
4. Step 4: Simplify right side
   402,648x = 725,822,210,304
5. Step 5: Solve for x
   x = 725,822,210,304/402,648
6. Step 6: Final answer
   x = 1,802,622.17