Finding the Third Proportional to 222,264 and 333,423

Step by Step Solution

1. Step 1: Write the proportion equation
   222,264 : 333,423 = 333,423 : x
2. Step 2: Convert to fraction form
   222,264/333,423 = 333,423/x
3. Step 3: Cross multiply
   222,264x = 333,423 × 333,423
4. Step 4: Simplify right side
   222,264x = 111,170,896,929
5. Step 5: Solve for x
   x = 111,170,896,929/222,264
6. Step 6: Final answer
   x = 500,175.00