Finding the Third Proportional to 511,840 and 1,056,464

Step by Step Solution

1. Step 1: Write the proportion equation
   511,840 : 1,056,464 = 1,056,464 : x
2. Step 2: Convert to fraction form
   511,840/1,056,464 = 1,056,464/x
3. Step 3: Cross multiply
   511,840x = 1,056,464 × 1,056,464
4. Step 4: Simplify right side
   511,840x = 1,116,116,183,296
5. Step 5: Solve for x
   x = 1,116,116,183,296/511,840
6. Step 6: Final answer
   x = 2,180,595.86