Finding the Third Proportional to 127,758.50 and 268,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,758.50 : 268,746.50 = 268,746.50 : x
2. Step 2: Convert to fraction form
   127,758.50/268,746.50 = 268,746.50/x
3. Step 3: Cross multiply
   127,758.50x = 268,746.50 × 268,746.50
4. Step 4: Simplify right side
   127,758.50x = 72,224,681,262.25
5. Step 5: Solve for x
   x = 72,224,681,262.25/127,758.50
6. Step 6: Final answer
   x = 565,321.93