Finding the Third Proportional to 145,692 and 317,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,692 : 317,020.50 = 317,020.50 : x
2. Step 2: Convert to fraction form
   145,692/317,020.50 = 317,020.50/x
3. Step 3: Cross multiply
   145,692x = 317,020.50 × 317,020.50
4. Step 4: Simplify right side
   145,692x = 100,501,997,420.25
5. Step 5: Solve for x
   x = 100,501,997,420.25/145,692
6. Step 6: Final answer
   x = 689,825.09