Finding the Third Proportional to 221,778 and 476,764

Step by Step Solution

1. Step 1: Write the proportion equation
   221,778 : 476,764 = 476,764 : x
2. Step 2: Convert to fraction form
   221,778/476,764 = 476,764/x
3. Step 3: Cross multiply
   221,778x = 476,764 × 476,764
4. Step 4: Simplify right side
   221,778x = 227,303,911,696
5. Step 5: Solve for x
   x = 227,303,911,696/221,778
6. Step 6: Final answer
   x = 1,024,916.41