Finding the Third Proportional to 377,008 and 797,648

Step by Step Solution

1. Step 1: Write the proportion equation
   377,008 : 797,648 = 797,648 : x
2. Step 2: Convert to fraction form
   377,008/797,648 = 797,648/x
3. Step 3: Cross multiply
   377,008x = 797,648 × 797,648
4. Step 4: Simplify right side
   377,008x = 636,242,331,904
5. Step 5: Solve for x
   x = 636,242,331,904/377,008
6. Step 6: Final answer
   x = 1,687,609.63