Finding the Third Proportional to 145,841 and 311,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,841 : 311,911.50 = 311,911.50 : x
2. Step 2: Convert to fraction form
   145,841/311,911.50 = 311,911.50/x
3. Step 3: Cross multiply
   145,841x = 311,911.50 × 311,911.50
4. Step 4: Simplify right side
   145,841x = 97,288,783,832.25
5. Step 5: Solve for x
   x = 97,288,783,832.25/145,841
6. Step 6: Final answer
   x = 667,088.02