Finding the Third Proportional to 51,965 and 111,943.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,965 : 111,943.50 = 111,943.50 : x
2. Step 2: Convert to fraction form
   51,965/111,943.50 = 111,943.50/x
3. Step 3: Cross multiply
   51,965x = 111,943.50 × 111,943.50
4. Step 4: Simplify right side
   51,965x = 12,531,347,192.25
5. Step 5: Solve for x
   x = 12,531,347,192.25/51,965
6. Step 6: Final answer
   x = 241,149.76