Finding the Third Proportional to 215,664 and 470,880

Step by Step Solution

1. Step 1: Write the proportion equation
   215,664 : 470,880 = 470,880 : x
2. Step 2: Convert to fraction form
   215,664/470,880 = 470,880/x
3. Step 3: Cross multiply
   215,664x = 470,880 × 470,880
4. Step 4: Simplify right side
   215,664x = 221,727,974,400
5. Step 5: Solve for x
   x = 221,727,974,400/215,664
6. Step 6: Final answer
   x = 1,028,117.69