Finding the Third Proportional to 104,564 and 222,614

Step by Step Solution

1. Step 1: Write the proportion equation
   104,564 : 222,614 = 222,614 : x
2. Step 2: Convert to fraction form
   104,564/222,614 = 222,614/x
3. Step 3: Cross multiply
   104,564x = 222,614 × 222,614
4. Step 4: Simplify right side
   104,564x = 49,556,992,996
5. Step 5: Solve for x
   x = 49,556,992,996/104,564
6. Step 6: Final answer
   x = 473,939.34