Finding the Third Proportional to 213,872 and 464,170

Step by Step Solution

1. Step 1: Write the proportion equation
   213,872 : 464,170 = 464,170 : x
2. Step 2: Convert to fraction form
   213,872/464,170 = 464,170/x
3. Step 3: Cross multiply
   213,872x = 464,170 × 464,170
4. Step 4: Simplify right side
   213,872x = 215,453,788,900
5. Step 5: Solve for x
   x = 215,453,788,900/213,872
6. Step 6: Final answer
   x = 1,007,395.96