Finding the Third Proportional to 145,269.50 and 314,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,269.50 : 314,667.50 = 314,667.50 : x
2. Step 2: Convert to fraction form
   145,269.50/314,667.50 = 314,667.50/x
3. Step 3: Cross multiply
   145,269.50x = 314,667.50 × 314,667.50
4. Step 4: Simplify right side
   145,269.50x = 99,015,635,556.25
5. Step 5: Solve for x
   x = 99,015,635,556.25/145,269.50
6. Step 6: Final answer
   x = 681,599.62