Finding the Third Proportional to 49,498 and 103,076

Step by Step Solution

1. Step 1: Write the proportion equation
   49,498 : 103,076 = 103,076 : x
2. Step 2: Convert to fraction form
   49,498/103,076 = 103,076/x
3. Step 3: Cross multiply
   49,498x = 103,076 × 103,076
4. Step 4: Simplify right side
   49,498x = 10,624,661,776
5. Step 5: Solve for x
   x = 10,624,661,776/49,498
6. Step 6: Final answer
   x = 214,648.30