Finding the Third Proportional to 127,098 and 279,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,098 : 279,589.50 = 279,589.50 : x
2. Step 2: Convert to fraction form
   127,098/279,589.50 = 279,589.50/x
3. Step 3: Cross multiply
   127,098x = 279,589.50 × 279,589.50
4. Step 4: Simplify right side
   127,098x = 78,170,288,510.25
5. Step 5: Solve for x
   x = 78,170,288,510.25/127,098
6. Step 6: Final answer
   x = 615,039.49