Finding the Third Proportional to 51,571 and 111,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,571 : 111,561.50 = 111,561.50 : x
2. Step 2: Convert to fraction form
   51,571/111,561.50 = 111,561.50/x
3. Step 3: Cross multiply
   51,571x = 111,561.50 × 111,561.50
4. Step 4: Simplify right side
   51,571x = 12,445,968,282.25
5. Step 5: Solve for x
   x = 12,445,968,282.25/51,571
6. Step 6: Final answer
   x = 241,336.57