Finding the Third Proportional to 221,157 and 333,568.13

Step by Step Solution

1. Step 1: Write the proportion equation
   221,157 : 333,568.13 = 333,568.13 : x
2. Step 2: Convert to fraction form
   221,157/333,568.13 = 333,568.13/x
3. Step 3: Cross multiply
   221,157x = 333,568.13 × 333,568.13
4. Step 4: Simplify right side
   221,157x = 111,267,694,016.02
5. Step 5: Solve for x
   x = 111,267,694,016.02/221,157
6. Step 6: Final answer
   x = 503,116.31