Finding the Third Proportional to 213,420 and 464,424

Step by Step Solution

1. Step 1: Write the proportion equation
   213,420 : 464,424 = 464,424 : x
2. Step 2: Convert to fraction form
   213,420/464,424 = 464,424/x
3. Step 3: Cross multiply
   213,420x = 464,424 × 464,424
4. Step 4: Simplify right side
   213,420x = 215,689,651,776
5. Step 5: Solve for x
   x = 215,689,651,776/213,420
6. Step 6: Final answer
   x = 1,010,634.67