Finding the Third Proportional to 49,548 and 108,498

Step by Step Solution

1. Step 1: Write the proportion equation
   49,548 : 108,498 = 108,498 : x
2. Step 2: Convert to fraction form
   49,548/108,498 = 108,498/x
3. Step 3: Cross multiply
   49,548x = 108,498 × 108,498
4. Step 4: Simplify right side
   49,548x = 11,771,816,004
5. Step 5: Solve for x
   x = 11,771,816,004/49,548
6. Step 6: Final answer
   x = 237,584.08