Finding the Third Proportional to 223,024 and 333,562

Step by Step Solution

1. Step 1: Write the proportion equation
   223,024 : 333,562 = 333,562 : x
2. Step 2: Convert to fraction form
   223,024/333,562 = 333,562/x
3. Step 3: Cross multiply
   223,024x = 333,562 × 333,562
4. Step 4: Simplify right side
   223,024x = 111,263,607,844
5. Step 5: Solve for x
   x = 111,263,607,844/223,024
6. Step 6: Final answer
   x = 498,886.25