Finding the Third Proportional to 49,197.50 and 105,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,197.50 : 105,561.50 = 105,561.50 : x
2. Step 2: Convert to fraction form
   49,197.50/105,561.50 = 105,561.50/x
3. Step 3: Cross multiply
   49,197.50x = 105,561.50 × 105,561.50
4. Step 4: Simplify right side
   49,197.50x = 11,143,230,282.25
5. Step 5: Solve for x
   x = 11,143,230,282.25/49,197.50
6. Step 6: Final answer
   x = 226,499.93