Finding the Third Proportional to 229,675.50 and 326,647.69

Step by Step Solution

1. Step 1: Write the proportion equation
   229,675.50 : 326,647.69 = 326,647.69 : x
2. Step 2: Convert to fraction form
   229,675.50/326,647.69 = 326,647.69/x
3. Step 3: Cross multiply
   229,675.50x = 326,647.69 × 326,647.69
4. Step 4: Simplify right side
   229,675.50x = 106,698,711,749.10
5. Step 5: Solve for x
   x = 106,698,711,749.10/229,675.50
6. Step 6: Final answer
   x = 464,562.88