Finding the Third Proportional to 229,888 and 345,144

Step by Step Solution

1. Step 1: Write the proportion equation
   229,888 : 345,144 = 345,144 : x
2. Step 2: Convert to fraction form
   229,888/345,144 = 345,144/x
3. Step 3: Cross multiply
   229,888x = 345,144 × 345,144
4. Step 4: Simplify right side
   229,888x = 119,124,380,736
5. Step 5: Solve for x
   x = 119,124,380,736/229,888
6. Step 6: Final answer
   x = 518,184.42