Finding the Third Proportional to 221,161 and 333,574

Step by Step Solution

1. Step 1: Write the proportion equation
   221,161 : 333,574 = 333,574 : x
2. Step 2: Convert to fraction form
   221,161/333,574 = 333,574/x
3. Step 3: Cross multiply
   221,161x = 333,574 × 333,574
4. Step 4: Simplify right side
   221,161x = 111,271,613,476
5. Step 5: Solve for x
   x = 111,271,613,476/221,161
6. Step 6: Final answer
   x = 503,124.93