Finding the Third Proportional to 460,434 and 714,563

Step by Step Solution

1. Step 1: Write the proportion equation
   460,434 : 714,563 = 714,563 : x
2. Step 2: Convert to fraction form
   460,434/714,563 = 714,563/x
3. Step 3: Cross multiply
   460,434x = 714,563 × 714,563
4. Step 4: Simplify right side
   460,434x = 510,600,280,969
5. Step 5: Solve for x
   x = 510,600,280,969/460,434
6. Step 6: Final answer
   x = 1,108,954.34