Finding the Third Proportional to 305,433 and 333,121.50

Step by Step Solution

1. Step 1: Write the proportion equation
   305,433 : 333,121.50 = 333,121.50 : x
2. Step 2: Convert to fraction form
   305,433/333,121.50 = 333,121.50/x
3. Step 3: Cross multiply
   305,433x = 333,121.50 × 333,121.50
4. Step 4: Simplify right side
   305,433x = 110,969,933,762.25
5. Step 5: Solve for x
   x = 110,969,933,762.25/305,433
6. Step 6: Final answer
   x = 363,320.05