Finding the Third Proportional to 127,891 and 200,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,891 : 200,185.50 = 200,185.50 : x
2. Step 2: Convert to fraction form
   127,891/200,185.50 = 200,185.50/x
3. Step 3: Cross multiply
   127,891x = 200,185.50 × 200,185.50
4. Step 4: Simplify right side
   127,891x = 40,074,234,410.25
5. Step 5: Solve for x
   x = 40,074,234,410.25/127,891
6. Step 6: Final answer
   x = 313,346.79