Finding the Third Proportional to 124,538 and 270,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,538 : 270,243.50 = 270,243.50 : x
2. Step 2: Convert to fraction form
   124,538/270,243.50 = 270,243.50/x
3. Step 3: Cross multiply
   124,538x = 270,243.50 × 270,243.50
4. Step 4: Simplify right side
   124,538x = 73,031,549,292.25
5. Step 5: Solve for x
   x = 73,031,549,292.25/124,538
6. Step 6: Final answer
   x = 586,419.80