Finding the Third Proportional to 214,666 and 466,212

Step by Step Solution

1. Step 1: Write the proportion equation
   214,666 : 466,212 = 466,212 : x
2. Step 2: Convert to fraction form
   214,666/466,212 = 466,212/x
3. Step 3: Cross multiply
   214,666x = 466,212 × 466,212
4. Step 4: Simplify right side
   214,666x = 217,353,628,944
5. Step 5: Solve for x
   x = 217,353,628,944/214,666
6. Step 6: Final answer
   x = 1,012,520.05