Finding the Third Proportional to 221,648 and 470,986

Step by Step Solution

1. Step 1: Write the proportion equation
   221,648 : 470,986 = 470,986 : x
2. Step 2: Convert to fraction form
   221,648/470,986 = 470,986/x
3. Step 3: Cross multiply
   221,648x = 470,986 × 470,986
4. Step 4: Simplify right side
   221,648x = 221,827,812,196
5. Step 5: Solve for x
   x = 221,827,812,196/221,648
6. Step 6: Final answer
   x = 1,000,811.25