Finding the Third Proportional to 127,758.38 and 268,758

Step by Step Solution

1. Step 1: Write the proportion equation
   127,758.38 : 268,758 = 268,758 : x
2. Step 2: Convert to fraction form
   127,758.38/268,758 = 268,758/x
3. Step 3: Cross multiply
   127,758.38x = 268,758 × 268,758
4. Step 4: Simplify right side
   127,758.38x = 72,230,862,564
5. Step 5: Solve for x
   x = 72,230,862,564/127,758.38
6. Step 6: Final answer
   x = 565,370.86