Finding the Third Proportional to 49,275 and 111,704

Step by Step Solution

1. Step 1: Write the proportion equation
   49,275 : 111,704 = 111,704 : x
2. Step 2: Convert to fraction form
   49,275/111,704 = 111,704/x
3. Step 3: Cross multiply
   49,275x = 111,704 × 111,704
4. Step 4: Simplify right side
   49,275x = 12,477,783,616
5. Step 5: Solve for x
   x = 12,477,783,616/49,275
6. Step 6: Final answer
   x = 253,227.47