Finding the Third Proportional to 646,264 and 1,380,496

Step by Step Solution

1. Step 1: Write the proportion equation
   646,264 : 1,380,496 = 1,380,496 : x
2. Step 2: Convert to fraction form
   646,264/1,380,496 = 1,380,496/x
3. Step 3: Cross multiply
   646,264x = 1,380,496 × 1,380,496
4. Step 4: Simplify right side
   646,264x = 1,905,769,206,016
5. Step 5: Solve for x
   x = 1,905,769,206,016/646,264
6. Step 6: Final answer
   x = 2,948,902.01