Finding the Third Proportional to 49,853 and 108,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,853 : 108,453.50 = 108,453.50 : x
2. Step 2: Convert to fraction form
   49,853/108,453.50 = 108,453.50/x
3. Step 3: Cross multiply
   49,853x = 108,453.50 × 108,453.50
4. Step 4: Simplify right side
   49,853x = 11,762,161,662.25
5. Step 5: Solve for x
   x = 11,762,161,662.25/49,853
6. Step 6: Final answer
   x = 235,936.89