Finding the Third Proportional to 123,778.50 and 270,741

Step by Step Solution

1. Step 1: Write the proportion equation
   123,778.50 : 270,741 = 270,741 : x
2. Step 2: Convert to fraction form
   123,778.50/270,741 = 270,741/x
3. Step 3: Cross multiply
   123,778.50x = 270,741 × 270,741
4. Step 4: Simplify right side
   123,778.50x = 73,300,689,081
5. Step 5: Solve for x
   x = 73,300,689,081/123,778.50
6. Step 6: Final answer
   x = 592,192.42