Finding the Third Proportional to 214,770 and 466,434

Step by Step Solution

1. Step 1: Write the proportion equation
   214,770 : 466,434 = 466,434 : x
2. Step 2: Convert to fraction form
   214,770/466,434 = 466,434/x
3. Step 3: Cross multiply
   214,770x = 466,434 × 466,434
4. Step 4: Simplify right side
   214,770x = 217,560,676,356
5. Step 5: Solve for x
   x = 217,560,676,356/214,770
6. Step 6: Final answer
   x = 1,012,993.79