Finding the Third Proportional to 360,561 and 522,238.50

Step by Step Solution

1. Step 1: Write the proportion equation
   360,561 : 522,238.50 = 522,238.50 : x
2. Step 2: Convert to fraction form
   360,561/522,238.50 = 522,238.50/x
3. Step 3: Cross multiply
   360,561x = 522,238.50 × 522,238.50
4. Step 4: Simplify right side
   360,561x = 272,733,050,882.25
5. Step 5: Solve for x
   x = 272,733,050,882.25/360,561
6. Step 6: Final answer
   x = 756,413.06