Finding the Third Proportional to 150,434 and 327,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,434 : 327,847.50 = 327,847.50 : x
2. Step 2: Convert to fraction form
   150,434/327,847.50 = 327,847.50/x
3. Step 3: Cross multiply
   150,434x = 327,847.50 × 327,847.50
4. Step 4: Simplify right side
   150,434x = 107,483,983,256.25
5. Step 5: Solve for x
   x = 107,483,983,256.25/150,434
6. Step 6: Final answer
   x = 714,492.62