Finding the Third Proportional to 213,816 and 464,064

Step by Step Solution

1. Step 1: Write the proportion equation
   213,816 : 464,064 = 464,064 : x
2. Step 2: Convert to fraction form
   213,816/464,064 = 464,064/x
3. Step 3: Cross multiply
   213,816x = 464,064 × 464,064
4. Step 4: Simplify right side
   213,816x = 215,355,396,096
5. Step 5: Solve for x
   x = 215,355,396,096/213,816
6. Step 6: Final answer
   x = 1,007,199.63