Finding the Third Proportional to 646,296 and 1,380,564

Step by Step Solution

1. Step 1: Write the proportion equation
   646,296 : 1,380,564 = 1,380,564 : x
2. Step 2: Convert to fraction form
   646,296/1,380,564 = 1,380,564/x
3. Step 3: Cross multiply
   646,296x = 1,380,564 × 1,380,564
4. Step 4: Simplify right side
   646,296x = 1,905,956,958,096
5. Step 5: Solve for x
   x = 1,905,956,958,096/646,296
6. Step 6: Final answer
   x = 2,949,046.50