Finding the Third Proportional to 221,616 and 474,768

Step by Step Solution

1. Step 1: Write the proportion equation
   221,616 : 474,768 = 474,768 : x
2. Step 2: Convert to fraction form
   221,616/474,768 = 474,768/x
3. Step 3: Cross multiply
   221,616x = 474,768 × 474,768
4. Step 4: Simplify right side
   221,616x = 225,404,653,824
5. Step 5: Solve for x
   x = 225,404,653,824/221,616
6. Step 6: Final answer
   x = 1,017,095.58