Finding the Third Proportional to 49,478 and 101,380

Step by Step Solution

1. Step 1: Write the proportion equation
   49,478 : 101,380 = 101,380 : x
2. Step 2: Convert to fraction form
   49,478/101,380 = 101,380/x
3. Step 3: Cross multiply
   49,478x = 101,380 × 101,380
4. Step 4: Simplify right side
   49,478x = 10,277,904,400
5. Step 5: Solve for x
   x = 10,277,904,400/49,478
6. Step 6: Final answer
   x = 207,726.76