Finding the Third Proportional to 218,466 and 470,516

Step by Step Solution

1. Step 1: Write the proportion equation
   218,466 : 470,516 = 470,516 : x
2. Step 2: Convert to fraction form
   218,466/470,516 = 470,516/x
3. Step 3: Cross multiply
   218,466x = 470,516 × 470,516
4. Step 4: Simplify right side
   218,466x = 221,385,306,256
5. Step 5: Solve for x
   x = 221,385,306,256/218,466
6. Step 6: Final answer
   x = 1,013,362.75