Finding the Third Proportional to 229,738.50 and 343,224

Step by Step Solution

1. Step 1: Write the proportion equation
   229,738.50 : 343,224 = 343,224 : x
2. Step 2: Convert to fraction form
   229,738.50/343,224 = 343,224/x
3. Step 3: Cross multiply
   229,738.50x = 343,224 × 343,224
4. Step 4: Simplify right side
   229,738.50x = 117,802,714,176
5. Step 5: Solve for x
   x = 117,802,714,176/229,738.50
6. Step 6: Final answer
   x = 512,768.71