Finding the Third Proportional to 229,500 and 350,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,500 : 350,824.50 = 350,824.50 : x
2. Step 2: Convert to fraction form
   229,500/350,824.50 = 350,824.50/x
3. Step 3: Cross multiply
   229,500x = 350,824.50 × 350,824.50
4. Step 4: Simplify right side
   229,500x = 123,077,829,800.25
5. Step 5: Solve for x
   x = 123,077,829,800.25/229,500
6. Step 6: Final answer
   x = 536,286.84