Finding the Third Proportional to 677,727 and 1,460,427

Step by Step Solution

1. Step 1: Write the proportion equation
   677,727 : 1,460,427 = 1,460,427 : x
2. Step 2: Convert to fraction form
   677,727/1,460,427 = 1,460,427/x
3. Step 3: Cross multiply
   677,727x = 1,460,427 × 1,460,427
4. Step 4: Simplify right side
   677,727x = 2,132,847,022,329
5. Step 5: Solve for x
   x = 2,132,847,022,329/677,727
6. Step 6: Final answer
   x = 3,147,059.25