Finding the Third Proportional to 127,576 and 279,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,576 : 279,573.50 = 279,573.50 : x
2. Step 2: Convert to fraction form
   127,576/279,573.50 = 279,573.50/x
3. Step 3: Cross multiply
   127,576x = 279,573.50 × 279,573.50
4. Step 4: Simplify right side
   127,576x = 78,161,341,902.25
5. Step 5: Solve for x
   x = 78,161,341,902.25/127,576
6. Step 6: Final answer
   x = 612,664.94