Finding the Third Proportional to 218,014 and 470,426

Step by Step Solution

1. Step 1: Write the proportion equation
   218,014 : 470,426 = 470,426 : x
2. Step 2: Convert to fraction form
   218,014/470,426 = 470,426/x
3. Step 3: Cross multiply
   218,014x = 470,426 × 470,426
4. Step 4: Simplify right side
   218,014x = 221,300,621,476
5. Step 5: Solve for x
   x = 221,300,621,476/218,014
6. Step 6: Final answer
   x = 1,015,075.28