Finding the Third Proportional to 49,498 and 104,516

Step by Step Solution

1. Step 1: Write the proportion equation
   49,498 : 104,516 = 104,516 : x
2. Step 2: Convert to fraction form
   49,498/104,516 = 104,516/x
3. Step 3: Cross multiply
   49,498x = 104,516 × 104,516
4. Step 4: Simplify right side
   49,498x = 10,923,594,256
5. Step 5: Solve for x
   x = 10,923,594,256/49,498
6. Step 6: Final answer
   x = 220,687.59