Finding the Third Proportional to 145,003 and 204,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,003 : 204,199.50 = 204,199.50 : x
2. Step 2: Convert to fraction form
   145,003/204,199.50 = 204,199.50/x
3. Step 3: Cross multiply
   145,003x = 204,199.50 × 204,199.50
4. Step 4: Simplify right side
   145,003x = 41,697,435,800.25
5. Step 5: Solve for x
   x = 41,697,435,800.25/145,003
6. Step 6: Final answer
   x = 287,562.57