Finding the Third Proportional to 218,870 and 470,434

Step by Step Solution

1. Step 1: Write the proportion equation
   218,870 : 470,434 = 470,434 : x
2. Step 2: Convert to fraction form
   218,870/470,434 = 470,434/x
3. Step 3: Cross multiply
   218,870x = 470,434 × 470,434
4. Step 4: Simplify right side
   218,870x = 221,308,148,356
5. Step 5: Solve for x
   x = 221,308,148,356/218,870
6. Step 6: Final answer
   x = 1,011,139.71