Finding the Third Proportional to 199,642.50 and 308,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,642.50 : 308,383.50 = 308,383.50 : x
2. Step 2: Convert to fraction form
   199,642.50/308,383.50 = 308,383.50/x
3. Step 3: Cross multiply
   199,642.50x = 308,383.50 × 308,383.50
4. Step 4: Simplify right side
   199,642.50x = 95,100,383,072.25
5. Step 5: Solve for x
   x = 95,100,383,072.25/199,642.50
6. Step 6: Final answer
   x = 476,353.40