Finding the Third Proportional to 218,986 and 470,706

Step by Step Solution

1. Step 1: Write the proportion equation
   218,986 : 470,706 = 470,706 : x
2. Step 2: Convert to fraction form
   218,986/470,706 = 470,706/x
3. Step 3: Cross multiply
   218,986x = 470,706 × 470,706
4. Step 4: Simplify right side
   218,986x = 221,564,138,436
5. Step 5: Solve for x
   x = 221,564,138,436/218,986
6. Step 6: Final answer
   x = 1,011,773.07