Finding the Third Proportional to 127,758.50 and 268,757

Step by Step Solution

1. Step 1: Write the proportion equation
   127,758.50 : 268,757 = 268,757 : x
2. Step 2: Convert to fraction form
   127,758.50/268,757 = 268,757/x
3. Step 3: Cross multiply
   127,758.50x = 268,757 × 268,757
4. Step 4: Simplify right side
   127,758.50x = 72,230,325,049
5. Step 5: Solve for x
   x = 72,230,325,049/127,758.50
6. Step 6: Final answer
   x = 565,366.10