Finding the Third Proportional to 221,154 and 333,563

Step by Step Solution

1. Step 1: Write the proportion equation
   221,154 : 333,563 = 333,563 : x
2. Step 2: Convert to fraction form
   221,154/333,563 = 333,563/x
3. Step 3: Cross multiply
   221,154x = 333,563 × 333,563
4. Step 4: Simplify right side
   221,154x = 111,264,274,969
5. Step 5: Solve for x
   x = 111,264,274,969/221,154
6. Step 6: Final answer
   x = 503,107.68