Finding the Third Proportional to 150,388.50 and 334,401

Step by Step Solution

1. Step 1: Write the proportion equation
   150,388.50 : 334,401 = 334,401 : x
2. Step 2: Convert to fraction form
   150,388.50/334,401 = 334,401/x
3. Step 3: Cross multiply
   150,388.50x = 334,401 × 334,401
4. Step 4: Simplify right side
   150,388.50x = 111,824,028,801
5. Step 5: Solve for x
   x = 111,824,028,801/150,388.50
6. Step 6: Final answer
   x = 743,567.69