Finding the Third Proportional to 150,958.50 and 323,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,958.50 : 323,056.50 = 323,056.50 : x
2. Step 2: Convert to fraction form
   150,958.50/323,056.50 = 323,056.50/x
3. Step 3: Cross multiply
   150,958.50x = 323,056.50 × 323,056.50
4. Step 4: Simplify right side
   150,958.50x = 104,365,502,192.25
5. Step 5: Solve for x
   x = 104,365,502,192.25/150,958.50
6. Step 6: Final answer
   x = 691,352.27