Finding the Third Proportional to 229,104 and 334,584

Step by Step Solution

1. Step 1: Write the proportion equation
   229,104 : 334,584 = 334,584 : x
2. Step 2: Convert to fraction form
   229,104/334,584 = 334,584/x
3. Step 3: Cross multiply
   229,104x = 334,584 × 334,584
4. Step 4: Simplify right side
   229,104x = 111,946,453,056
5. Step 5: Solve for x
   x = 111,946,453,056/229,104
6. Step 6: Final answer
   x = 488,627.23