Finding the Third Proportional to 221,766 and 476,742

Step by Step Solution

1. Step 1: Write the proportion equation
   221,766 : 476,742 = 476,742 : x
2. Step 2: Convert to fraction form
   221,766/476,742 = 476,742/x
3. Step 3: Cross multiply
   221,766x = 476,742 × 476,742
4. Step 4: Simplify right side
   221,766x = 227,282,934,564
5. Step 5: Solve for x
   x = 227,282,934,564/221,766
6. Step 6: Final answer
   x = 1,024,877.28