Finding the Third Proportional to 145,003.50 and 204,200.25

Step by Step Solution

1. Step 1: Write the proportion equation
   145,003.50 : 204,200.25 = 204,200.25 : x
2. Step 2: Convert to fraction form
   145,003.50/204,200.25 = 204,200.25/x
3. Step 3: Cross multiply
   145,003.50x = 204,200.25 × 204,200.25
4. Step 4: Simplify right side
   145,003.50x = 41,697,742,100.06
5. Step 5: Solve for x
   x = 41,697,742,100.06/145,003.50
6. Step 6: Final answer
   x = 287,563.69