Finding the Third Proportional to 221,166 and 333,576

Step by Step Solution

1. Step 1: Write the proportion equation
   221,166 : 333,576 = 333,576 : x
2. Step 2: Convert to fraction form
   221,166/333,576 = 333,576/x
3. Step 3: Cross multiply
   221,166x = 333,576 × 333,576
4. Step 4: Simplify right side
   221,166x = 111,272,947,776
5. Step 5: Solve for x
   x = 111,272,947,776/221,166
6. Step 6: Final answer
   x = 503,119.59