Finding the Third Proportional to 49,269.50 and 111,691

Step by Step Solution

1. Step 1: Write the proportion equation
   49,269.50 : 111,691 = 111,691 : x
2. Step 2: Convert to fraction form
   49,269.50/111,691 = 111,691/x
3. Step 3: Cross multiply
   49,269.50x = 111,691 × 111,691
4. Step 4: Simplify right side
   49,269.50x = 12,474,879,481
5. Step 5: Solve for x
   x = 12,474,879,481/49,269.50
6. Step 6: Final answer
   x = 253,196.79