Finding the Third Proportional to 214,066 and 470,506

Step by Step Solution

1. Step 1: Write the proportion equation
   214,066 : 470,506 = 470,506 : x
2. Step 2: Convert to fraction form
   214,066/470,506 = 470,506/x
3. Step 3: Cross multiply
   214,066x = 470,506 × 470,506
4. Step 4: Simplify right side
   214,066x = 221,375,896,036
5. Step 5: Solve for x
   x = 221,375,896,036/214,066
6. Step 6: Final answer
   x = 1,034,147.86