Finding the Third Proportional to 214,648 and 466,170

Step by Step Solution

1. Step 1: Write the proportion equation
   214,648 : 466,170 = 466,170 : x
2. Step 2: Convert to fraction form
   214,648/466,170 = 466,170/x
3. Step 3: Cross multiply
   214,648x = 466,170 × 466,170
4. Step 4: Simplify right side
   214,648x = 217,314,468,900
5. Step 5: Solve for x
   x = 217,314,468,900/214,648
6. Step 6: Final answer
   x = 1,012,422.52