Finding the Third Proportional to 51,561 and 111,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,561 : 111,541.50 = 111,541.50 : x
2. Step 2: Convert to fraction form
   51,561/111,541.50 = 111,541.50/x
3. Step 3: Cross multiply
   51,561x = 111,541.50 × 111,541.50
4. Step 4: Simplify right side
   51,561x = 12,441,506,222.25
5. Step 5: Solve for x
   x = 12,441,506,222.25/51,561
6. Step 6: Final answer
   x = 241,296.84