Finding the Third Proportional to 214,434 and 470,880

Step by Step Solution

1. Step 1: Write the proportion equation
   214,434 : 470,880 = 470,880 : x
2. Step 2: Convert to fraction form
   214,434/470,880 = 470,880/x
3. Step 3: Cross multiply
   214,434x = 470,880 × 470,880
4. Step 4: Simplify right side
   214,434x = 221,727,974,400
5. Step 5: Solve for x
   x = 221,727,974,400/214,434
6. Step 6: Final answer
   x = 1,034,015.01