Finding the Third Proportional to 150,525 and 329,035.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,525 : 329,035.50 = 329,035.50 : x
2. Step 2: Convert to fraction form
   150,525/329,035.50 = 329,035.50/x
3. Step 3: Cross multiply
   150,525x = 329,035.50 × 329,035.50
4. Step 4: Simplify right side
   150,525x = 108,264,360,260.25
5. Step 5: Solve for x
   x = 108,264,360,260.25/150,525
6. Step 6: Final answer
   x = 719,245.04