Finding the Third Proportional to 213,480 and 464,544

Step by Step Solution

1. Step 1: Write the proportion equation
   213,480 : 464,544 = 464,544 : x
2. Step 2: Convert to fraction form
   213,480/464,544 = 464,544/x
3. Step 3: Cross multiply
   213,480x = 464,544 × 464,544
4. Step 4: Simplify right side
   213,480x = 215,801,127,936
5. Step 5: Solve for x
   x = 215,801,127,936/213,480
6. Step 6: Final answer
   x = 1,010,872.81