Finding the Third Proportional to 458,424 and 700,814

Step by Step Solution

1. Step 1: Write the proportion equation
   458,424 : 700,814 = 700,814 : x
2. Step 2: Convert to fraction form
   458,424/700,814 = 700,814/x
3. Step 3: Cross multiply
   458,424x = 700,814 × 700,814
4. Step 4: Simplify right side
   458,424x = 491,140,262,596
5. Step 5: Solve for x
   x = 491,140,262,596/458,424
6. Step 6: Final answer
   x = 1,071,366.82