Finding the Third Proportional to 201,222 and 415,404

Step by Step Solution

1. Step 1: Write the proportion equation
   201,222 : 415,404 = 415,404 : x
2. Step 2: Convert to fraction form
   201,222/415,404 = 415,404/x
3. Step 3: Cross multiply
   201,222x = 415,404 × 415,404
4. Step 4: Simplify right side
   201,222x = 172,560,483,216
5. Step 5: Solve for x
   x = 172,560,483,216/201,222
6. Step 6: Final answer
   x = 857,562.71