Finding the Third Proportional to 51,847 and 111,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,847 : 111,037.50 = 111,037.50 : x
2. Step 2: Convert to fraction form
   51,847/111,037.50 = 111,037.50/x
3. Step 3: Cross multiply
   51,847x = 111,037.50 × 111,037.50
4. Step 4: Simplify right side
   51,847x = 12,329,326,406.25
5. Step 5: Solve for x
   x = 12,329,326,406.25/51,847
6. Step 6: Final answer
   x = 237,802.12