Finding the Third Proportional to 43,848 and 95,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,848 : 95,896.50 = 95,896.50 : x
2. Step 2: Convert to fraction form
   43,848/95,896.50 = 95,896.50/x
3. Step 3: Cross multiply
   43,848x = 95,896.50 × 95,896.50
4. Step 4: Simplify right side
   43,848x = 9,196,138,712.25
5. Step 5: Solve for x
   x = 9,196,138,712.25/43,848
6. Step 6: Final answer
   x = 209,727.67