Finding the Third Proportional to 200,749 and 311,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,749 : 311,023.50 = 311,023.50 : x
2. Step 2: Convert to fraction form
   200,749/311,023.50 = 311,023.50/x
3. Step 3: Cross multiply
   200,749x = 311,023.50 × 311,023.50
4. Step 4: Simplify right side
   200,749x = 96,735,617,552.25
5. Step 5: Solve for x
   x = 96,735,617,552.25/200,749
6. Step 6: Final answer
   x = 481,873.47