Finding the Third Proportional to 229,855.50 and 365,274

Step by Step Solution

1. Step 1: Write the proportion equation
   229,855.50 : 365,274 = 365,274 : x
2. Step 2: Convert to fraction form
   229,855.50/365,274 = 365,274/x
3. Step 3: Cross multiply
   229,855.50x = 365,274 × 365,274
4. Step 4: Simplify right side
   229,855.50x = 133,425,095,076
5. Step 5: Solve for x
   x = 133,425,095,076/229,855.50
6. Step 6: Final answer
   x = 580,473.80