Finding the Third Proportional to 127,758 and 268,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,758 : 268,756.50 = 268,756.50 : x
2. Step 2: Convert to fraction form
   127,758/268,756.50 = 268,756.50/x
3. Step 3: Cross multiply
   127,758x = 268,756.50 × 268,756.50
4. Step 4: Simplify right side
   127,758x = 72,230,056,292.25
5. Step 5: Solve for x
   x = 72,230,056,292.25/127,758
6. Step 6: Final answer
   x = 565,366.21