Finding the Third Proportional to 212,170 and 462,212

Step by Step Solution

1. Step 1: Write the proportion equation
   212,170 : 462,212 = 462,212 : x
2. Step 2: Convert to fraction form
   212,170/462,212 = 462,212/x
3. Step 3: Cross multiply
   212,170x = 462,212 × 462,212
4. Step 4: Simplify right side
   212,170x = 213,639,932,944
5. Step 5: Solve for x
   x = 213,639,932,944/212,170
6. Step 6: Final answer
   x = 1,006,928.09