Finding the Third Proportional to 201,852 and 480,006

Step by Step Solution

1. Step 1: Write the proportion equation
   201,852 : 480,006 = 480,006 : x
2. Step 2: Convert to fraction form
   201,852/480,006 = 480,006/x
3. Step 3: Cross multiply
   201,852x = 480,006 × 480,006
4. Step 4: Simplify right side
   201,852x = 230,405,760,036
5. Step 5: Solve for x
   x = 230,405,760,036/201,852
6. Step 6: Final answer
   x = 1,141,458.89