Finding the Third Proportional to 127,989 and 275,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,989 : 275,296.50 = 275,296.50 : x
2. Step 2: Convert to fraction form
   127,989/275,296.50 = 275,296.50/x
3. Step 3: Cross multiply
   127,989x = 275,296.50 × 275,296.50
4. Step 4: Simplify right side
   127,989x = 75,788,162,912.25
5. Step 5: Solve for x
   x = 75,788,162,912.25/127,989
6. Step 6: Final answer
   x = 592,145.91