Finding the Third Proportional to 229,929 and 343,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,929 : 343,477.50 = 343,477.50 : x
2. Step 2: Convert to fraction form
   229,929/343,477.50 = 343,477.50/x
3. Step 3: Cross multiply
   229,929x = 343,477.50 × 343,477.50
4. Step 4: Simplify right side
   229,929x = 117,976,793,006.25
5. Step 5: Solve for x
   x = 117,976,793,006.25/229,929
6. Step 6: Final answer
   x = 513,100.97