Finding the Third Proportional to 51,538.50 and 111,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,538.50 : 111,889.50 = 111,889.50 : x
2. Step 2: Convert to fraction form
   51,538.50/111,889.50 = 111,889.50/x
3. Step 3: Cross multiply
   51,538.50x = 111,889.50 × 111,889.50
4. Step 4: Simplify right side
   51,538.50x = 12,519,260,210.25
5. Step 5: Solve for x
   x = 12,519,260,210.25/51,538.50
6. Step 6: Final answer
   x = 242,910.84