Finding the Third Proportional to 49,493 and 107,919.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,493 : 107,919.50 = 107,919.50 : x
2. Step 2: Convert to fraction form
   49,493/107,919.50 = 107,919.50/x
3. Step 3: Cross multiply
   49,493x = 107,919.50 × 107,919.50
4. Step 4: Simplify right side
   49,493x = 11,646,618,480.25
5. Step 5: Solve for x
   x = 11,646,618,480.25/49,493
6. Step 6: Final answer
   x = 235,318.50