Finding the Third Proportional to 49,811 and 107,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,811 : 107,493.50 = 107,493.50 : x
2. Step 2: Convert to fraction form
   49,811/107,493.50 = 107,493.50/x
3. Step 3: Cross multiply
   49,811x = 107,493.50 × 107,493.50
4. Step 4: Simplify right side
   49,811x = 11,554,852,542.25
5. Step 5: Solve for x
   x = 11,554,852,542.25/49,811
6. Step 6: Final answer
   x = 231,973.91