Finding the Third Proportional to 127,782 and 200,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,782 : 200,464.50 = 200,464.50 : x
2. Step 2: Convert to fraction form
   127,782/200,464.50 = 200,464.50/x
3. Step 3: Cross multiply
   127,782x = 200,464.50 × 200,464.50
4. Step 4: Simplify right side
   127,782x = 40,186,015,760.25
5. Step 5: Solve for x
   x = 40,186,015,760.25/127,782
6. Step 6: Final answer
   x = 314,488.86