Finding the Third Proportional to 511,872 and 1,196,214

Step by Step Solution

1. Step 1: Write the proportion equation
   511,872 : 1,196,214 = 1,196,214 : x
2. Step 2: Convert to fraction form
   511,872/1,196,214 = 1,196,214/x
3. Step 3: Cross multiply
   511,872x = 1,196,214 × 1,196,214
4. Step 4: Simplify right side
   511,872x = 1,430,927,933,796
5. Step 5: Solve for x
   x = 1,430,927,933,796/511,872
6. Step 6: Final answer
   x = 2,795,479.99