Finding the Third Proportional to 127,755 and 268,751.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127,755 : 268,751.25 = 268,751.25 : x
2. Step 2: Convert to fraction form
   127,755/268,751.25 = 268,751.25/x
3. Step 3: Cross multiply
   127,755x = 268,751.25 × 268,751.25
4. Step 4: Simplify right side
   127,755x = 72,227,234,376.56
5. Step 5: Solve for x
   x = 72,227,234,376.56/127,755
6. Step 6: Final answer
   x = 565,357.40