Finding the Third Proportional to 219,960 and 471,024

Step by Step Solution

1. Step 1: Write the proportion equation
   219,960 : 471,024 = 471,024 : x
2. Step 2: Convert to fraction form
   219,960/471,024 = 471,024/x
3. Step 3: Cross multiply
   219,960x = 471,024 × 471,024
4. Step 4: Simplify right side
   219,960x = 221,863,608,576
5. Step 5: Solve for x
   x = 221,863,608,576/219,960
6. Step 6: Final answer
   x = 1,008,654.34