Finding the Third Proportional to 205,638 and 476,006

Step by Step Solution

1. Step 1: Write the proportion equation
   205,638 : 476,006 = 476,006 : x
2. Step 2: Convert to fraction form
   205,638/476,006 = 476,006/x
3. Step 3: Cross multiply
   205,638x = 476,006 × 476,006
4. Step 4: Simplify right side
   205,638x = 226,581,712,036
5. Step 5: Solve for x
   x = 226,581,712,036/205,638
6. Step 6: Final answer
   x = 1,101,847.48