Finding the Third Proportional to 49,974.50 and 107,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,974.50 : 107,359.50 = 107,359.50 : x
2. Step 2: Convert to fraction form
   49,974.50/107,359.50 = 107,359.50/x
3. Step 3: Cross multiply
   49,974.50x = 107,359.50 × 107,359.50
4. Step 4: Simplify right side
   49,974.50x = 11,526,062,240.25
5. Step 5: Solve for x
   x = 11,526,062,240.25/49,974.50
6. Step 6: Final answer
   x = 230,638.87