Finding the Third Proportional to 204,243.75 and 314,978.25

Step by Step Solution

1. Step 1: Write the proportion equation
   204,243.75 : 314,978.25 = 314,978.25 : x
2. Step 2: Convert to fraction form
   204,243.75/314,978.25 = 314,978.25/x
3. Step 3: Cross multiply
   204,243.75x = 314,978.25 × 314,978.25
4. Step 4: Simplify right side
   204,243.75x = 99,211,297,973.06
5. Step 5: Solve for x
   x = 99,211,297,973.06/204,243.75
6. Step 6: Final answer
   x = 485,749.49