Finding the Third Proportional to 214,068 and 470,510

Step by Step Solution

1. Step 1: Write the proportion equation
   214,068 : 470,510 = 470,510 : x
2. Step 2: Convert to fraction form
   214,068/470,510 = 470,510/x
3. Step 3: Cross multiply
   214,068x = 470,510 × 470,510
4. Step 4: Simplify right side
   214,068x = 221,379,660,100
5. Step 5: Solve for x
   x = 221,379,660,100/214,068
6. Step 6: Final answer
   x = 1,034,155.78