Finding the Third Proportional to 684,456 and 1,648,932

Step by Step Solution

1. Step 1: Write the proportion equation
   684,456 : 1,648,932 = 1,648,932 : x
2. Step 2: Convert to fraction form
   684,456/1,648,932 = 1,648,932/x
3. Step 3: Cross multiply
   684,456x = 1,648,932 × 1,648,932
4. Step 4: Simplify right side
   684,456x = 2,718,976,740,624
5. Step 5: Solve for x
   x = 2,718,976,740,624/684,456
6. Step 6: Final answer
   x = 3,972,463.88